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Finding the Third Proportional to 226,318 and 471,232

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Solution

The third proportional to 226,318 and 471,232 is: 981,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,318 : 471,232 = 471,232 : x
  2. Step 2: Convert to fraction form
    226,318/471,232 = 471,232/x
  3. Step 3: Cross multiply
    226,318x = 471,232 × 471,232
  4. Step 4: Simplify right side
    226,318x = 222,059,597,824
  5. Step 5: Solve for x
    x = 222,059,597,824/226,318
  6. Step 6: Final answer
    x = 981,183.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.