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Finding the Third Proportional to 232,981.31 and 499,147.31

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Solution

The third proportional to 232,981.31 and 499,147.31 is: 1,069,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,981.31 : 499,147.31 = 499,147.31 : x
  2. Step 2: Convert to fraction form
    232,981.31/499,147.31 = 499,147.31/x
  3. Step 3: Cross multiply
    232,981.31x = 499,147.31 × 499,147.31
  4. Step 4: Simplify right side
    232,981.31x = 249,148,039,575.97
  5. Step 5: Solve for x
    x = 249,148,039,575.97/232,981.31
  6. Step 6: Final answer
    x = 1,069,390.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.