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Finding the Third Proportional to 204,039 and 441,958

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Solution

The third proportional to 204,039 and 441,958 is: 957,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039 : 441,958 = 441,958 : x
  2. Step 2: Convert to fraction form
    204,039/441,958 = 441,958/x
  3. Step 3: Cross multiply
    204,039x = 441,958 × 441,958
  4. Step 4: Simplify right side
    204,039x = 195,326,873,764
  5. Step 5: Solve for x
    x = 195,326,873,764/204,039
  6. Step 6: Final answer
    x = 957,301.66

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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.