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Finding the Third Proportional to 356,304 and 522,792

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Solution

The third proportional to 356,304 and 522,792 is: 767,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,304 : 522,792 = 522,792 : x
  2. Step 2: Convert to fraction form
    356,304/522,792 = 522,792/x
  3. Step 3: Cross multiply
    356,304x = 522,792 × 522,792
  4. Step 4: Simplify right side
    356,304x = 273,311,475,264
  5. Step 5: Solve for x
    x = 273,311,475,264/356,304
  6. Step 6: Final answer
    x = 767,073.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.