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Finding the Third Proportional to 391,872 and 588,336

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Solution

The third proportional to 391,872 and 588,336 is: 883,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,872 : 588,336 = 588,336 : x
  2. Step 2: Convert to fraction form
    391,872/588,336 = 588,336/x
  3. Step 3: Cross multiply
    391,872x = 588,336 × 588,336
  4. Step 4: Simplify right side
    391,872x = 346,139,248,896
  5. Step 5: Solve for x
    x = 346,139,248,896/391,872
  6. Step 6: Final answer
    x = 883,296.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.