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Finding the Third Proportional to 391,959 and 586,419.75

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Solution

The third proportional to 391,959 and 586,419.75 is: 877,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,959 : 586,419.75 = 586,419.75 : x
  2. Step 2: Convert to fraction form
    391,959/586,419.75 = 586,419.75/x
  3. Step 3: Cross multiply
    391,959x = 586,419.75 × 586,419.75
  4. Step 4: Simplify right side
    391,959x = 343,888,123,190.06
  5. Step 5: Solve for x
    x = 343,888,123,190.06/391,959
  6. Step 6: Final answer
    x = 877,357.38

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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.