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Finding the Third Proportional to 291,691 and 437,541

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Solution

The third proportional to 291,691 and 437,541 is: 656,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691 : 437,541 = 437,541 : x
  2. Step 2: Convert to fraction form
    291,691/437,541 = 437,541/x
  3. Step 3: Cross multiply
    291,691x = 437,541 × 437,541
  4. Step 4: Simplify right side
    291,691x = 191,442,126,681
  5. Step 5: Solve for x
    x = 191,442,126,681/291,691
  6. Step 6: Final answer
    x = 656,318.25

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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.