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Finding the Third Proportional to 206,580 and 443,292

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Solution

The third proportional to 206,580 and 443,292 is: 951,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580 : 443,292 = 443,292 : x
  2. Step 2: Convert to fraction form
    206,580/443,292 = 443,292/x
  3. Step 3: Cross multiply
    206,580x = 443,292 × 443,292
  4. Step 4: Simplify right side
    206,580x = 196,507,797,264
  5. Step 5: Solve for x
    x = 196,507,797,264/206,580
  6. Step 6: Final answer
    x = 951,243.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.