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Finding the Third Proportional to 580,493.53 and 853,677.56

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Solution

The third proportional to 580,493.53 and 853,677.56 is: 1,255,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,493.53 : 853,677.56 = 853,677.56 : x
  2. Step 2: Convert to fraction form
    580,493.53/853,677.56 = 853,677.56/x
  3. Step 3: Cross multiply
    580,493.53x = 853,677.56 × 853,677.56
  4. Step 4: Simplify right side
    580,493.53x = 728,765,380,715.94
  5. Step 5: Solve for x
    x = 728,765,380,715.94/580,493.53
  6. Step 6: Final answer
    x = 1,255,423.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.