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Finding the Third Proportional to 206,559 and 451,026

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Solution

The third proportional to 206,559 and 451,026 is: 984,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,559 : 451,026 = 451,026 : x
  2. Step 2: Convert to fraction form
    206,559/451,026 = 451,026/x
  3. Step 3: Cross multiply
    206,559x = 451,026 × 451,026
  4. Step 4: Simplify right side
    206,559x = 203,424,452,676
  5. Step 5: Solve for x
    x = 203,424,452,676/206,559
  6. Step 6: Final answer
    x = 984,824.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.