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Finding the Third Proportional to 204,825 and 445,599

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Solution

The third proportional to 204,825 and 445,599 is: 969,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,825 : 445,599 = 445,599 : x
  2. Step 2: Convert to fraction form
    204,825/445,599 = 445,599/x
  3. Step 3: Cross multiply
    204,825x = 445,599 × 445,599
  4. Step 4: Simplify right side
    204,825x = 198,558,468,801
  5. Step 5: Solve for x
    x = 198,558,468,801/204,825
  6. Step 6: Final answer
    x = 969,405.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.