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Finding the Third Proportional to 438,432.75 and 942,132.38

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Solution

The third proportional to 438,432.75 and 942,132.38 is: 2,024,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432.75 : 942,132.38 = 942,132.38 : x
  2. Step 2: Convert to fraction form
    438,432.75/942,132.38 = 942,132.38/x
  3. Step 3: Cross multiply
    438,432.75x = 942,132.38 × 942,132.38
  4. Step 4: Simplify right side
    438,432.75x = 887,613,412,023.14
  5. Step 5: Solve for x
    x = 887,613,412,023.14/438,432.75
  6. Step 6: Final answer
    x = 2,024,514.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.