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Finding the Third Proportional to 204,694 and 444,179

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Solution

The third proportional to 204,694 and 444,179 is: 963,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694 : 444,179 = 444,179 : x
  2. Step 2: Convert to fraction form
    204,694/444,179 = 444,179/x
  3. Step 3: Cross multiply
    204,694x = 444,179 × 444,179
  4. Step 4: Simplify right side
    204,694x = 197,294,984,041
  5. Step 5: Solve for x
    x = 197,294,984,041/204,694
  6. Step 6: Final answer
    x = 963,853.28

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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.