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Finding the Third Proportional to 392,834.25 and 588,603.38

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Solution

The third proportional to 392,834.25 and 588,603.38 is: 881,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,834.25 : 588,603.38 = 588,603.38 : x
  2. Step 2: Convert to fraction form
    392,834.25/588,603.38 = 588,603.38/x
  3. Step 3: Cross multiply
    392,834.25x = 588,603.38 × 588,603.38
  4. Step 4: Simplify right side
    392,834.25x = 346,453,933,061.39
  5. Step 5: Solve for x
    x = 346,453,933,061.39/392,834.25
  6. Step 6: Final answer
    x = 881,934.13

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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.