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Finding the Third Proportional to 226,434 and 474,900

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Solution

The third proportional to 226,434 and 474,900 is: 996,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,434 : 474,900 = 474,900 : x
  2. Step 2: Convert to fraction form
    226,434/474,900 = 474,900/x
  3. Step 3: Cross multiply
    226,434x = 474,900 × 474,900
  4. Step 4: Simplify right side
    226,434x = 225,530,010,000
  5. Step 5: Solve for x
    x = 225,530,010,000/226,434
  6. Step 6: Final answer
    x = 996,007.71

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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.