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Finding the Third Proportional to 332,742 and 517,161

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Solution

The third proportional to 332,742 and 517,161 is: 803,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,742 : 517,161 = 517,161 : x
  2. Step 2: Convert to fraction form
    332,742/517,161 = 517,161/x
  3. Step 3: Cross multiply
    332,742x = 517,161 × 517,161
  4. Step 4: Simplify right side
    332,742x = 267,455,499,921
  5. Step 5: Solve for x
    x = 267,455,499,921/332,742
  6. Step 6: Final answer
    x = 803,792.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.