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Finding the Third Proportional to 206,566 and 451,036

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Solution

The third proportional to 206,566 and 451,036 is: 984,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,566 : 451,036 = 451,036 : x
  2. Step 2: Convert to fraction form
    206,566/451,036 = 451,036/x
  3. Step 3: Cross multiply
    206,566x = 451,036 × 451,036
  4. Step 4: Simplify right side
    206,566x = 203,433,473,296
  5. Step 5: Solve for x
    x = 203,433,473,296/206,566
  6. Step 6: Final answer
    x = 984,835.23

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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.