Next consider the for lines passing through the middle square. Taken together, these numbers add up to 4×15 = 60. Yet this is just the numbers 1 through 9, where the middle entry is used another 3 times over. Thus 3 times the middle is 60 - 45, and the middle square is 5. Some trial and error reveals the pattern.
2 9 4
7 5 3
6 1 8
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