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Finding the Third Proportional to 347,665 and 732,691

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Solution

The third proportional to 347,665 and 732,691 is: 1,544,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,665 : 732,691 = 732,691 : x
  2. Step 2: Convert to fraction form
    347,665/732,691 = 732,691/x
  3. Step 3: Cross multiply
    347,665x = 732,691 × 732,691
  4. Step 4: Simplify right side
    347,665x = 536,836,101,481
  5. Step 5: Solve for x
    x = 536,836,101,481/347,665
  6. Step 6: Final answer
    x = 1,544,118.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.