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Finding the Third Proportional to 204,039 and 444,217

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Solution

The third proportional to 204,039 and 444,217 is: 967,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039 : 444,217 = 444,217 : x
  2. Step 2: Convert to fraction form
    204,039/444,217 = 444,217/x
  3. Step 3: Cross multiply
    204,039x = 444,217 × 444,217
  4. Step 4: Simplify right side
    204,039x = 197,328,743,089
  5. Step 5: Solve for x
    x = 197,328,743,089/204,039
  6. Step 6: Final answer
    x = 967,112.87

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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.