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Finding the Third Proportional to 206,067 and 437,406

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Solution

The third proportional to 206,067 and 437,406 is: 928,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067 : 437,406 = 437,406 : x
  2. Step 2: Convert to fraction form
    206,067/437,406 = 437,406/x
  3. Step 3: Cross multiply
    206,067x = 437,406 × 437,406
  4. Step 4: Simplify right side
    206,067x = 191,324,008,836
  5. Step 5: Solve for x
    x = 191,324,008,836/206,067
  6. Step 6: Final answer
    x = 928,455.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.