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Finding the Third Proportional to 204,033 and 447,422

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Solution

The third proportional to 204,033 and 447,422 is: 981,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033 : 447,422 = 447,422 : x
  2. Step 2: Convert to fraction form
    204,033/447,422 = 447,422/x
  3. Step 3: Cross multiply
    204,033x = 447,422 × 447,422
  4. Step 4: Simplify right side
    204,033x = 200,186,446,084
  5. Step 5: Solve for x
    x = 200,186,446,084/204,033
  6. Step 6: Final answer
    x = 981,147.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.