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Finding the Third Proportional to 463,744 and 737,691

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Solution

The third proportional to 463,744 and 737,691 is: 1,173,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744 : 737,691 = 737,691 : x
  2. Step 2: Convert to fraction form
    463,744/737,691 = 737,691/x
  3. Step 3: Cross multiply
    463,744x = 737,691 × 737,691
  4. Step 4: Simplify right side
    463,744x = 544,188,011,481
  5. Step 5: Solve for x
    x = 544,188,011,481/463,744
  6. Step 6: Final answer
    x = 1,173,466.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.