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Finding the Third Proportional to 497,959 and 752,868

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Solution

The third proportional to 497,959 and 752,868 is: 1,138,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,959 : 752,868 = 752,868 : x
  2. Step 2: Convert to fraction form
    497,959/752,868 = 752,868/x
  3. Step 3: Cross multiply
    497,959x = 752,868 × 752,868
  4. Step 4: Simplify right side
    497,959x = 566,810,225,424
  5. Step 5: Solve for x
    x = 566,810,225,424/497,959
  6. Step 6: Final answer
    x = 1,138,266.86

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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.