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Finding the Third Proportional to 498,398.50 and 752,782

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Solution

The third proportional to 498,398.50 and 752,782 is: 1,137,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,398.50 : 752,782 = 752,782 : x
  2. Step 2: Convert to fraction form
    498,398.50/752,782 = 752,782/x
  3. Step 3: Cross multiply
    498,398.50x = 752,782 × 752,782
  4. Step 4: Simplify right side
    498,398.50x = 566,680,739,524
  5. Step 5: Solve for x
    x = 566,680,739,524/498,398.50
  6. Step 6: Final answer
    x = 1,137,003.30

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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.