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Finding the Third Proportional to 392,739.38 and 614,381.25

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Solution

The third proportional to 392,739.38 and 614,381.25 is: 961,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,739.38 : 614,381.25 = 614,381.25 : x
  2. Step 2: Convert to fraction form
    392,739.38/614,381.25 = 614,381.25/x
  3. Step 3: Cross multiply
    392,739.38x = 614,381.25 × 614,381.25
  4. Step 4: Simplify right side
    392,739.38x = 377,464,320,351.56
  5. Step 5: Solve for x
    x = 377,464,320,351.56/392,739.38
  6. Step 6: Final answer
    x = 961,106.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.