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Finding the Third Proportional to 226,234 and 474,500

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Solution

The third proportional to 226,234 and 474,500 is: 995,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,234 : 474,500 = 474,500 : x
  2. Step 2: Convert to fraction form
    226,234/474,500 = 474,500/x
  3. Step 3: Cross multiply
    226,234x = 474,500 × 474,500
  4. Step 4: Simplify right side
    226,234x = 225,150,250,000
  5. Step 5: Solve for x
    x = 225,150,250,000/226,234
  6. Step 6: Final answer
    x = 995,209.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.