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Finding the Third Proportional to 491,936 and 752,180

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Solution

The third proportional to 491,936 and 752,180 is: 1,150,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,936 : 752,180 = 752,180 : x
  2. Step 2: Convert to fraction form
    491,936/752,180 = 752,180/x
  3. Step 3: Cross multiply
    491,936x = 752,180 × 752,180
  4. Step 4: Simplify right side
    491,936x = 565,774,752,400
  5. Step 5: Solve for x
    x = 565,774,752,400/491,936
  6. Step 6: Final answer
    x = 1,150,098.29

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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.