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Finding the Third Proportional to 491,832 and 752,028

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Solution

The third proportional to 491,832 and 752,028 is: 1,149,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,832 : 752,028 = 752,028 : x
  2. Step 2: Convert to fraction form
    491,832/752,028 = 752,028/x
  3. Step 3: Cross multiply
    491,832x = 752,028 × 752,028
  4. Step 4: Simplify right side
    491,832x = 565,546,112,784
  5. Step 5: Solve for x
    x = 565,546,112,784/491,832
  6. Step 6: Final answer
    x = 1,149,876.61

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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.