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Finding the Third Proportional to 206,950 and 446,548

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Solution

The third proportional to 206,950 and 446,548 is: 963,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950 : 446,548 = 446,548 : x
  2. Step 2: Convert to fraction form
    206,950/446,548 = 446,548/x
  3. Step 3: Cross multiply
    206,950x = 446,548 × 446,548
  4. Step 4: Simplify right side
    206,950x = 199,405,116,304
  5. Step 5: Solve for x
    x = 199,405,116,304/206,950
  6. Step 6: Final answer
    x = 963,542.48

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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.