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Finding the Third Proportional to 204,100 and 447,584

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Solution

The third proportional to 204,100 and 447,584 is: 981,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,100 : 447,584 = 447,584 : x
  2. Step 2: Convert to fraction form
    204,100/447,584 = 447,584/x
  3. Step 3: Cross multiply
    204,100x = 447,584 × 447,584
  4. Step 4: Simplify right side
    204,100x = 200,331,437,056
  5. Step 5: Solve for x
    x = 200,331,437,056/204,100
  6. Step 6: Final answer
    x = 981,535.70

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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.