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Finding the Third Proportional to 392,736 and 604,542

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Solution

The third proportional to 392,736 and 604,542 is: 930,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,736 : 604,542 = 604,542 : x
  2. Step 2: Convert to fraction form
    392,736/604,542 = 604,542/x
  3. Step 3: Cross multiply
    392,736x = 604,542 × 604,542
  4. Step 4: Simplify right side
    392,736x = 365,471,029,764
  5. Step 5: Solve for x
    x = 365,471,029,764/392,736
  6. Step 6: Final answer
    x = 930,576.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.