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Finding the Third Proportional to 398,909.25 and 864,279

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Solution

The third proportional to 398,909.25 and 864,279 is: 1,872,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,909.25 : 864,279 = 864,279 : x
  2. Step 2: Convert to fraction form
    398,909.25/864,279 = 864,279/x
  3. Step 3: Cross multiply
    398,909.25x = 864,279 × 864,279
  4. Step 4: Simplify right side
    398,909.25x = 746,978,189,841
  5. Step 5: Solve for x
    x = 746,978,189,841/398,909.25
  6. Step 6: Final answer
    x = 1,872,551.69

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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.