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Finding the Third Proportional to 204,057 and 443,060

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Solution

The third proportional to 204,057 and 443,060 is: 961,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057 : 443,060 = 443,060 : x
  2. Step 2: Convert to fraction form
    204,057/443,060 = 443,060/x
  3. Step 3: Cross multiply
    204,057x = 443,060 × 443,060
  4. Step 4: Simplify right side
    204,057x = 196,302,163,600
  5. Step 5: Solve for x
    x = 196,302,163,600/204,057
  6. Step 6: Final answer
    x = 961,996.71

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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.