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Finding the Third Proportional to 322,714.13 and 701,399.25

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Solution

The third proportional to 322,714.13 and 701,399.25 is: 1,524,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,714.13 : 701,399.25 = 701,399.25 : x
  2. Step 2: Convert to fraction form
    322,714.13/701,399.25 = 701,399.25/x
  3. Step 3: Cross multiply
    322,714.13x = 701,399.25 × 701,399.25
  4. Step 4: Simplify right side
    322,714.13x = 491,960,907,900.56
  5. Step 5: Solve for x
    x = 491,960,907,900.56/322,714.13
  6. Step 6: Final answer
    x = 1,524,448.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.