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Finding the Third Proportional to 471,403.38 and 729,781.75

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Solution

The third proportional to 471,403.38 and 729,781.75 is: 1,129,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,403.38 : 729,781.75 = 729,781.75 : x
  2. Step 2: Convert to fraction form
    471,403.38/729,781.75 = 729,781.75/x
  3. Step 3: Cross multiply
    471,403.38x = 729,781.75 × 729,781.75
  4. Step 4: Simplify right side
    471,403.38x = 532,581,402,633.06
  5. Step 5: Solve for x
    x = 532,581,402,633.06/471,403.38
  6. Step 6: Final answer
    x = 1,129,778.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.