ORIGINAL: Roskoe
Look at the ballistics charts. The point at which the bullet falls to the 2,000 fps impact velocity is effectively the maximum range.
If this were tru then that would put you at roughly 350 - 400 yards with a standard 270 without looking at a ballistics chart. I would venture to say you could make a kill shot at 500 - 600 yards hovever becuase I believe you only need 1,500 fps and roughly 1200 foot pounds of energy with a well placed shot.
Personally, even with my 7 Mag, I would not take a shot past 700 yards even if it were the buck of a lifetime. Of course that would be about 45inches high over the back using a bdc reticle and on a perfectly calm day.
I would also add that being with a more powerful scope, something like a 4 -12 x 50. You might also need a second shot to follow.