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Finding the Third Proportional to 206,574 and 437,950

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Solution

The third proportional to 206,574 and 437,950 is: 928,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,574 : 437,950 = 437,950 : x
  2. Step 2: Convert to fraction form
    206,574/437,950 = 437,950/x
  3. Step 3: Cross multiply
    206,574x = 437,950 × 437,950
  4. Step 4: Simplify right side
    206,574x = 191,800,202,500
  5. Step 5: Solve for x
    x = 191,800,202,500/206,574
  6. Step 6: Final answer
    x = 928,481.82

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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.