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Finding the Third Proportional to 206,832 and 446,672

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Solution

The third proportional to 206,832 and 446,672 is: 964,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,832 : 446,672 = 446,672 : x
  2. Step 2: Convert to fraction form
    206,832/446,672 = 446,672/x
  3. Step 3: Cross multiply
    206,832x = 446,672 × 446,672
  4. Step 4: Simplify right side
    206,832x = 199,515,875,584
  5. Step 5: Solve for x
    x = 199,515,875,584/206,832
  6. Step 6: Final answer
    x = 964,627.70

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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.