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Finding the Third Proportional to 391,911.75 and 586,344.38

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Solution

The third proportional to 391,911.75 and 586,344.38 is: 877,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,911.75 : 586,344.38 = 586,344.38 : x
  2. Step 2: Convert to fraction form
    391,911.75/586,344.38 = 586,344.38/x
  3. Step 3: Cross multiply
    391,911.75x = 586,344.38 × 586,344.38
  4. Step 4: Simplify right side
    391,911.75x = 343,799,726,094.14
  5. Step 5: Solve for x
    x = 343,799,726,094.14/391,911.75
  6. Step 6: Final answer
    x = 877,237.61

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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.