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Finding the Third Proportional to 491,892 and 752,112

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Solution

The third proportional to 491,892 and 752,112 is: 1,149,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,892 : 752,112 = 752,112 : x
  2. Step 2: Convert to fraction form
    491,892/752,112 = 752,112/x
  3. Step 3: Cross multiply
    491,892x = 752,112 × 752,112
  4. Step 4: Simplify right side
    491,892x = 565,672,460,544
  5. Step 5: Solve for x
    x = 565,672,460,544/491,892
  6. Step 6: Final answer
    x = 1,149,993.21

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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.