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Finding the Third Proportional to 291,690 and 437,542

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Solution

The third proportional to 291,690 and 437,542 is: 656,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,690 : 437,542 = 437,542 : x
  2. Step 2: Convert to fraction form
    291,690/437,542 = 437,542/x
  3. Step 3: Cross multiply
    291,690x = 437,542 × 437,542
  4. Step 4: Simplify right side
    291,690x = 191,443,001,764
  5. Step 5: Solve for x
    x = 191,443,001,764/291,690
  6. Step 6: Final answer
    x = 656,323.50

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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.