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Finding the Third Proportional to 206,834 and 446,676

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Solution

The third proportional to 206,834 and 446,676 is: 964,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834 : 446,676 = 446,676 : x
  2. Step 2: Convert to fraction form
    206,834/446,676 = 446,676/x
  3. Step 3: Cross multiply
    206,834x = 446,676 × 446,676
  4. Step 4: Simplify right side
    206,834x = 199,519,448,976
  5. Step 5: Solve for x
    x = 199,519,448,976/206,834
  6. Step 6: Final answer
    x = 964,635.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.