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Finding the Third Proportional to 391,051.13 and 523,761.19

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Solution

The third proportional to 391,051.13 and 523,761.19 is: 701,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,051.13 : 523,761.19 = 523,761.19 : x
  2. Step 2: Convert to fraction form
    391,051.13/523,761.19 = 523,761.19/x
  3. Step 3: Cross multiply
    391,051.13x = 523,761.19 × 523,761.19
  4. Step 4: Simplify right side
    391,051.13x = 274,325,781,531.41
  5. Step 5: Solve for x
    x = 274,325,781,531.41/391,051.13
  6. Step 6: Final answer
    x = 701,508.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.