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Finding the Third Proportional to 206,694 and 442,912

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Solution

The third proportional to 206,694 and 442,912 is: 949,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,694 : 442,912 = 442,912 : x
  2. Step 2: Convert to fraction form
    206,694/442,912 = 442,912/x
  3. Step 3: Cross multiply
    206,694x = 442,912 × 442,912
  4. Step 4: Simplify right side
    206,694x = 196,171,039,744
  5. Step 5: Solve for x
    x = 196,171,039,744/206,694
  6. Step 6: Final answer
    x = 949,089.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.