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Finding the Third Proportional to 204,096 and 447,576

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Solution

The third proportional to 204,096 and 447,576 is: 981,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,096 : 447,576 = 447,576 : x
  2. Step 2: Convert to fraction form
    204,096/447,576 = 447,576/x
  3. Step 3: Cross multiply
    204,096x = 447,576 × 447,576
  4. Step 4: Simplify right side
    204,096x = 200,324,275,776
  5. Step 5: Solve for x
    x = 200,324,275,776/204,096
  6. Step 6: Final answer
    x = 981,519.85

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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.