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Finding the Third Proportional to 361,982.67 and 531,748.55

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Solution

The third proportional to 361,982.67 and 531,748.55 is: 781,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,982.67 : 531,748.55 = 531,748.55 : x
  2. Step 2: Convert to fraction form
    361,982.67/531,748.55 = 531,748.55/x
  3. Step 3: Cross multiply
    361,982.67x = 531,748.55 × 531,748.55
  4. Step 4: Simplify right side
    361,982.67x = 282,756,517,103.67
  5. Step 5: Solve for x
    x = 282,756,517,103.67/361,982.67
  6. Step 6: Final answer
    x = 781,132.74

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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.