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Finding the Third Proportional to 206,755 and 446,521

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Solution

The third proportional to 206,755 and 446,521 is: 964,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,755 : 446,521 = 446,521 : x
  2. Step 2: Convert to fraction form
    206,755/446,521 = 446,521/x
  3. Step 3: Cross multiply
    206,755x = 446,521 × 446,521
  4. Step 4: Simplify right side
    206,755x = 199,381,003,441
  5. Step 5: Solve for x
    x = 199,381,003,441/206,755
  6. Step 6: Final answer
    x = 964,334.62

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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.