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Finding the Third Proportional to 204,399 and 477,424.13

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Solution

The third proportional to 204,399 and 477,424.13 is: 1,115,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,399 : 477,424.13 = 477,424.13 : x
  2. Step 2: Convert to fraction form
    204,399/477,424.13 = 477,424.13/x
  3. Step 3: Cross multiply
    204,399x = 477,424.13 × 477,424.13
  4. Step 4: Simplify right side
    204,399x = 227,933,795,132.02
  5. Step 5: Solve for x
    x = 227,933,795,132.02/204,399
  6. Step 6: Final answer
    x = 1,115,141.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.