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Finding the Third Proportional to 204,674 and 440,452

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Solution

The third proportional to 204,674 and 440,452 is: 947,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,674 : 440,452 = 440,452 : x
  2. Step 2: Convert to fraction form
    204,674/440,452 = 440,452/x
  3. Step 3: Cross multiply
    204,674x = 440,452 × 440,452
  4. Step 4: Simplify right side
    204,674x = 193,997,964,304
  5. Step 5: Solve for x
    x = 193,997,964,304/204,674
  6. Step 6: Final answer
    x = 947,838.83

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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.