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Finding the Third Proportional to 337,068 and 720,792

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Solution

The third proportional to 337,068 and 720,792 is: 1,541,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,068 : 720,792 = 720,792 : x
  2. Step 2: Convert to fraction form
    337,068/720,792 = 720,792/x
  3. Step 3: Cross multiply
    337,068x = 720,792 × 720,792
  4. Step 4: Simplify right side
    337,068x = 519,541,107,264
  5. Step 5: Solve for x
    x = 519,541,107,264/337,068
  6. Step 6: Final answer
    x = 1,541,353.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.