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Finding the Third Proportional to 203,481 and 412,500

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Solution

The third proportional to 203,481 and 412,500 is: 836,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,481 : 412,500 = 412,500 : x
  2. Step 2: Convert to fraction form
    203,481/412,500 = 412,500/x
  3. Step 3: Cross multiply
    203,481x = 412,500 × 412,500
  4. Step 4: Simplify right side
    203,481x = 170,156,250,000
  5. Step 5: Solve for x
    x = 170,156,250,000/203,481
  6. Step 6: Final answer
    x = 836,226.72

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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.