I am fortunate in that CMP Talladega is within reasonable driving distance and I have been sighting my hunting rifles out to 300 yards. Recently zero'd this rifle out to 300 yards:
The next target out from 300 yards is the 600 yard target and I decided not to bother with this Sako as it is not clustering as tightly as I want before trying 600 yards. I may try later, depends on my attitude. I had a 6.5 Swede that was doing quite nicely at 300 yards, but the scope did not have enough elevation to go12 MOA up from the 300 yard zero. Bummer! The difficulty of hitting something at distance increases, and it is not a linear function, might be an exponential function. I can say getting decent groups at 300 yards is not terribly difficult, but shoot enough, you can see just how little position or trigger pull errors will fling a shot into the eight ring or worse. You have got to experience it to believe it. If my stock weld changes, that is if my face slides up and down the stock,and it does not take much, I get big elevation changes. For any chance of staying in the ten ring you have to shoot the same ammunition, that is bullet, powder, primer, that was used to zero the rifle. I can take a different box, (factory ammunition for example) and it will print differently even though the bullet weights are the same.
Different brands of bullets print to a different point of impact even if the bullet weight is the same. You may not see this at 100 yards, but the further you go out, the more you will see it. I am shooting these things off a bench, but before I would take them out hunting I would shoot them in the position I would use in the field. I can say, with lots of experience shooting in slung positions over the decades, rifles shoot to a different point of impact depending on how you hold them. My 200 yard standing zero always had a different elevation and windage than my sitting rapid fire zero's.
Anyway, with more experience with my rifles, and that will take shooting them from field positions, I could gain confidence that I could reliably hit an animal at 300 yards, but still, I think that is a long way out.