
When you ask "What number is halfway between 72 and 419?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=72 and Y=419.

To find the number halfway between 72 and 419, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 72 and 419 into our formula, we get:
(72 + 419)/2 = 245.5
Thus, the number halfway between 72 and 419 is 245.5.
To check that our answer is correct, we subtract 72 from 245.5 and subtract 245.5 from 419 and compare the two numbers:
245.5 - 72 = 173.5
419 - 245.5 = 173.5
As you can see, the halfway number is 173.5 higher than 72 and 173.5 lower than 419. Therefore, our halfway between answer of 245.5 above is correct.
Halfway Between
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Halfway Between 72 and 420
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