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Finding the Third Proportional to 206,972 and 446,592

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Solution

The third proportional to 206,972 and 446,592 is: 963,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 446,592 = 446,592 : x
  2. Step 2: Convert to fraction form
    206,972/446,592 = 446,592/x
  3. Step 3: Cross multiply
    206,972x = 446,592 × 446,592
  4. Step 4: Simplify right side
    206,972x = 199,444,414,464
  5. Step 5: Solve for x
    x = 199,444,414,464/206,972
  6. Step 6: Final answer
    x = 963,629.93

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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.