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Finding the Third Proportional to 392,704 and 604,499

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Solution

The third proportional to 392,704 and 604,499 is: 930,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,704 : 604,499 = 604,499 : x
  2. Step 2: Convert to fraction form
    392,704/604,499 = 604,499/x
  3. Step 3: Cross multiply
    392,704x = 604,499 × 604,499
  4. Step 4: Simplify right side
    392,704x = 365,419,041,001
  5. Step 5: Solve for x
    x = 365,419,041,001/392,704
  6. Step 6: Final answer
    x = 930,520.29

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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.