Once you've determined the approximate maximum lethal range of your selected rifle and bullet, it's important to understand the uncertainties involved which may cause you to miss your aimpoint. Accuracy is obviously a very important factor in long range hunting. Not only do you have to hit the animal, but you have to hit it in a vital area which is a small percentage of the animal's total size. If you are accurate enough and can reliably place shots within the small vital area of your target, you can effectively increase the lethal range with superior shot placement.
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