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Finding the Third Proportional to 206,956 and 445,616

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Solution

The third proportional to 206,956 and 445,616 is: 959,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,956 : 445,616 = 445,616 : x
  2. Step 2: Convert to fraction form
    206,956/445,616 = 445,616/x
  3. Step 3: Cross multiply
    206,956x = 445,616 × 445,616
  4. Step 4: Simplify right side
    206,956x = 198,573,619,456
  5. Step 5: Solve for x
    x = 198,573,619,456/206,956
  6. Step 6: Final answer
    x = 959,496.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.