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Finding the Third Proportional to 204,995.25 and 449,471.25

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Solution

The third proportional to 204,995.25 and 449,471.25 is: 985,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,995.25 : 449,471.25 = 449,471.25 : x
  2. Step 2: Convert to fraction form
    204,995.25/449,471.25 = 449,471.25/x
  3. Step 3: Cross multiply
    204,995.25x = 449,471.25 × 449,471.25
  4. Step 4: Simplify right side
    204,995.25x = 202,024,404,576.56
  5. Step 5: Solve for x
    x = 202,024,404,576.56/204,995.25
  6. Step 6: Final answer
    x = 985,507.74

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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.