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Finding the Third Proportional to 324,982.13 and 701,358.75

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Solution

The third proportional to 324,982.13 and 701,358.75 is: 1,513,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,982.13 : 701,358.75 = 701,358.75 : x
  2. Step 2: Convert to fraction form
    324,982.13/701,358.75 = 701,358.75/x
  3. Step 3: Cross multiply
    324,982.13x = 701,358.75 × 701,358.75
  4. Step 4: Simplify right side
    324,982.13x = 491,904,096,201.56
  5. Step 5: Solve for x
    x = 491,904,096,201.56/324,982.13
  6. Step 6: Final answer
    x = 1,513,634.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.