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Finding the Third Proportional to 491,940 and 752,182

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Solution

The third proportional to 491,940 and 752,182 is: 1,150,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,940 : 752,182 = 752,182 : x
  2. Step 2: Convert to fraction form
    491,940/752,182 = 752,182/x
  3. Step 3: Cross multiply
    491,940x = 752,182 × 752,182
  4. Step 4: Simplify right side
    491,940x = 565,777,761,124
  5. Step 5: Solve for x
    x = 565,777,761,124/491,940
  6. Step 6: Final answer
    x = 1,150,095.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.