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Finding the Third Proportional to 204,586.31 and 444,584.53

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Solution

The third proportional to 204,586.31 and 444,584.53 is: 966,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,586.31 : 444,584.53 = 444,584.53 : x
  2. Step 2: Convert to fraction form
    204,586.31/444,584.53 = 444,584.53/x
  3. Step 3: Cross multiply
    204,586.31x = 444,584.53 × 444,584.53
  4. Step 4: Simplify right side
    204,586.31x = 197,655,405,426.78
  5. Step 5: Solve for x
    x = 197,655,405,426.78/204,586.31
  6. Step 6: Final answer
    x = 966,122.33

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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.