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Finding the Third Proportional to 491,944 and 752,188

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Solution

The third proportional to 491,944 and 752,188 is: 1,150,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,944 : 752,188 = 752,188 : x
  2. Step 2: Convert to fraction form
    491,944/752,188 = 752,188/x
  3. Step 3: Cross multiply
    491,944x = 752,188 × 752,188
  4. Step 4: Simplify right side
    491,944x = 565,786,787,344
  5. Step 5: Solve for x
    x = 565,786,787,344/491,944
  6. Step 6: Final answer
    x = 1,150,104.05

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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.