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Finding the Third Proportional to 497,963 and 752,874

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Solution

The third proportional to 497,963 and 752,874 is: 1,138,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,963 : 752,874 = 752,874 : x
  2. Step 2: Convert to fraction form
    497,963/752,874 = 752,874/x
  3. Step 3: Cross multiply
    497,963x = 752,874 × 752,874
  4. Step 4: Simplify right side
    497,963x = 566,819,259,876
  5. Step 5: Solve for x
    x = 566,819,259,876/497,963
  6. Step 6: Final answer
    x = 1,138,275.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.