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Finding the Third Proportional to 491,928 and 752,166

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Solution

The third proportional to 491,928 and 752,166 is: 1,150,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,928 : 752,166 = 752,166 : x
  2. Step 2: Convert to fraction form
    491,928/752,166 = 752,166/x
  3. Step 3: Cross multiply
    491,928x = 752,166 × 752,166
  4. Step 4: Simplify right side
    491,928x = 565,753,691,556
  5. Step 5: Solve for x
    x = 565,753,691,556/491,928
  6. Step 6: Final answer
    x = 1,150,074.18

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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.