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Finding the Third Proportional to 224,587 and 337,792

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Solution

The third proportional to 224,587 and 337,792 is: 508,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,587 : 337,792 = 337,792 : x
  2. Step 2: Convert to fraction form
    224,587/337,792 = 337,792/x
  3. Step 3: Cross multiply
    224,587x = 337,792 × 337,792
  4. Step 4: Simplify right side
    224,587x = 114,103,435,264
  5. Step 5: Solve for x
    x = 114,103,435,264/224,587
  6. Step 6: Final answer
    x = 508,058.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.