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Finding the Third Proportional to 363,294 and 539,757

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Solution

The third proportional to 363,294 and 539,757 is: 801,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,294 : 539,757 = 539,757 : x
  2. Step 2: Convert to fraction form
    363,294/539,757 = 539,757/x
  3. Step 3: Cross multiply
    363,294x = 539,757 × 539,757
  4. Step 4: Simplify right side
    363,294x = 291,337,619,049
  5. Step 5: Solve for x
    x = 291,337,619,049/363,294
  6. Step 6: Final answer
    x = 801,933.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.