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Finding the Third Proportional to 204,644 and 442,917

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Solution

The third proportional to 204,644 and 442,917 is: 958,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,644 : 442,917 = 442,917 : x
  2. Step 2: Convert to fraction form
    204,644/442,917 = 442,917/x
  3. Step 3: Cross multiply
    204,644x = 442,917 × 442,917
  4. Step 4: Simplify right side
    204,644x = 196,175,468,889
  5. Step 5: Solve for x
    x = 196,175,468,889/204,644
  6. Step 6: Final answer
    x = 958,618.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.