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Finding the Third Proportional to 206,843 and 446,922

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Solution

The third proportional to 206,843 and 446,922 is: 965,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843 : 446,922 = 446,922 : x
  2. Step 2: Convert to fraction form
    206,843/446,922 = 446,922/x
  3. Step 3: Cross multiply
    206,843x = 446,922 × 446,922
  4. Step 4: Simplify right side
    206,843x = 199,739,274,084
  5. Step 5: Solve for x
    x = 199,739,274,084/206,843
  6. Step 6: Final answer
    x = 965,656.44

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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.