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Finding the Third Proportional to 337,632 and 720,463

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Solution

The third proportional to 337,632 and 720,463 is: 1,537,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,632 : 720,463 = 720,463 : x
  2. Step 2: Convert to fraction form
    337,632/720,463 = 720,463/x
  3. Step 3: Cross multiply
    337,632x = 720,463 × 720,463
  4. Step 4: Simplify right side
    337,632x = 519,066,934,369
  5. Step 5: Solve for x
    x = 519,066,934,369/337,632
  6. Step 6: Final answer
    x = 1,537,374.82

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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.