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Finding the Third Proportional to 204,546 and 447,372

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Solution

The third proportional to 204,546 and 447,372 is: 978,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,546 : 447,372 = 447,372 : x
  2. Step 2: Convert to fraction form
    204,546/447,372 = 447,372/x
  3. Step 3: Cross multiply
    204,546x = 447,372 × 447,372
  4. Step 4: Simplify right side
    204,546x = 200,141,706,384
  5. Step 5: Solve for x
    x = 200,141,706,384/204,546
  6. Step 6: Final answer
    x = 978,467.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.