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Finding the Third Proportional to 204,468.89 and 449,545.15

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Solution

The third proportional to 204,468.89 and 449,545.15 is: 988,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468.89 : 449,545.15 = 449,545.15 : x
  2. Step 2: Convert to fraction form
    204,468.89/449,545.15 = 449,545.15/x
  3. Step 3: Cross multiply
    204,468.89x = 449,545.15 × 449,545.15
  4. Step 4: Simplify right side
    204,468.89x = 202,090,840,483.69
  5. Step 5: Solve for x
    x = 202,090,840,483.69/204,468.89
  6. Step 6: Final answer
    x = 988,369.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.