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Finding the Third Proportional to 204,609.38 and 444,636

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Solution

The third proportional to 204,609.38 and 444,636 is: 966,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,609.38 : 444,636 = 444,636 : x
  2. Step 2: Convert to fraction form
    204,609.38/444,636 = 444,636/x
  3. Step 3: Cross multiply
    204,609.38x = 444,636 × 444,636
  4. Step 4: Simplify right side
    204,609.38x = 197,701,172,496
  5. Step 5: Solve for x
    x = 197,701,172,496/204,609.38
  6. Step 6: Final answer
    x = 966,237.12

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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.