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Finding the Third Proportional to 360,304 and 767,264

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Solution

The third proportional to 360,304 and 767,264 is: 1,633,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,304 : 767,264 = 767,264 : x
  2. Step 2: Convert to fraction form
    360,304/767,264 = 767,264/x
  3. Step 3: Cross multiply
    360,304x = 767,264 × 767,264
  4. Step 4: Simplify right side
    360,304x = 588,694,045,696
  5. Step 5: Solve for x
    x = 588,694,045,696/360,304
  6. Step 6: Final answer
    x = 1,633,881.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.