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Finding the Third Proportional to 204,016 and 441,912

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Solution

The third proportional to 204,016 and 441,912 is: 957,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,016 : 441,912 = 441,912 : x
  2. Step 2: Convert to fraction form
    204,016/441,912 = 441,912/x
  3. Step 3: Cross multiply
    204,016x = 441,912 × 441,912
  4. Step 4: Simplify right side
    204,016x = 195,286,215,744
  5. Step 5: Solve for x
    x = 195,286,215,744/204,016
  6. Step 6: Final answer
    x = 957,210.30

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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.