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Finding the Third Proportional to 204,614 and 444,645

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Solution

The third proportional to 204,614 and 444,645 is: 966,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,614 : 444,645 = 444,645 : x
  2. Step 2: Convert to fraction form
    204,614/444,645 = 444,645/x
  3. Step 3: Cross multiply
    204,614x = 444,645 × 444,645
  4. Step 4: Simplify right side
    204,614x = 197,709,176,025
  5. Step 5: Solve for x
    x = 197,709,176,025/204,614
  6. Step 6: Final answer
    x = 966,254.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.