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Finding the Third Proportional to 492,194 and 752,691

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Solution

The third proportional to 492,194 and 752,691 is: 1,151,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,194 : 752,691 = 752,691 : x
  2. Step 2: Convert to fraction form
    492,194/752,691 = 752,691/x
  3. Step 3: Cross multiply
    492,194x = 752,691 × 752,691
  4. Step 4: Simplify right side
    492,194x = 566,543,741,481
  5. Step 5: Solve for x
    x = 566,543,741,481/492,194
  6. Step 6: Final answer
    x = 1,151,057.80

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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.