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Finding the Third Proportional to 204,032 and 447,420

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Solution

The third proportional to 204,032 and 447,420 is: 981,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 447,420 = 447,420 : x
  2. Step 2: Convert to fraction form
    204,032/447,420 = 447,420/x
  3. Step 3: Cross multiply
    204,032x = 447,420 × 447,420
  4. Step 4: Simplify right side
    204,032x = 200,184,656,400
  5. Step 5: Solve for x
    x = 200,184,656,400/204,032
  6. Step 6: Final answer
    x = 981,143.43

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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.