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Finding the Third Proportional to 338,546.25 and 728,757

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Solution

The third proportional to 338,546.25 and 728,757 is: 1,568,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,546.25 : 728,757 = 728,757 : x
  2. Step 2: Convert to fraction form
    338,546.25/728,757 = 728,757/x
  3. Step 3: Cross multiply
    338,546.25x = 728,757 × 728,757
  4. Step 4: Simplify right side
    338,546.25x = 531,086,765,049
  5. Step 5: Solve for x
    x = 531,086,765,049/338,546.25
  6. Step 6: Final answer
    x = 1,568,727.36

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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.