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Finding the Third Proportional to 204,606 and 444,206

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Solution

The third proportional to 204,606 and 444,206 is: 964,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,606 : 444,206 = 444,206 : x
  2. Step 2: Convert to fraction form
    204,606/444,206 = 444,206/x
  3. Step 3: Cross multiply
    204,606x = 444,206 × 444,206
  4. Step 4: Simplify right side
    204,606x = 197,318,970,436
  5. Step 5: Solve for x
    x = 197,318,970,436/204,606
  6. Step 6: Final answer
    x = 964,385.06

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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.