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Finding the Third Proportional to 203,499 and 412,749

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Solution

The third proportional to 203,499 and 412,749 is: 837,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499 : 412,749 = 412,749 : x
  2. Step 2: Convert to fraction form
    203,499/412,749 = 412,749/x
  3. Step 3: Cross multiply
    203,499x = 412,749 × 412,749
  4. Step 4: Simplify right side
    203,499x = 170,361,737,001
  5. Step 5: Solve for x
    x = 170,361,737,001/203,499
  6. Step 6: Final answer
    x = 837,162.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.