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Finding the Third Proportional to 342,147 and 752,982

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Solution

The third proportional to 342,147 and 752,982 is: 1,657,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147 : 752,982 = 752,982 : x
  2. Step 2: Convert to fraction form
    342,147/752,982 = 752,982/x
  3. Step 3: Cross multiply
    342,147x = 752,982 × 752,982
  4. Step 4: Simplify right side
    342,147x = 566,981,892,324
  5. Step 5: Solve for x
    x = 566,981,892,324/342,147
  6. Step 6: Final answer
    x = 1,657,129.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.