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Finding the Third Proportional to 204,530 and 441,728

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Solution

The third proportional to 204,530 and 441,728 is: 954,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,530 : 441,728 = 441,728 : x
  2. Step 2: Convert to fraction form
    204,530/441,728 = 441,728/x
  3. Step 3: Cross multiply
    204,530x = 441,728 × 441,728
  4. Step 4: Simplify right side
    204,530x = 195,123,625,984
  5. Step 5: Solve for x
    x = 195,123,625,984/204,530
  6. Step 6: Final answer
    x = 954,009.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.