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Finding the Third Proportional to 206,824 and 446,680

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Solution

The third proportional to 206,824 and 446,680 is: 964,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824 : 446,680 = 446,680 : x
  2. Step 2: Convert to fraction form
    206,824/446,680 = 446,680/x
  3. Step 3: Cross multiply
    206,824x = 446,680 × 446,680
  4. Step 4: Simplify right side
    206,824x = 199,523,022,400
  5. Step 5: Solve for x
    x = 199,523,022,400/206,824
  6. Step 6: Final answer
    x = 964,699.56

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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.