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Finding the Third Proportional to 226,321 and 471,242

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Solution

The third proportional to 226,321 and 471,242 is: 981,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,321 : 471,242 = 471,242 : x
  2. Step 2: Convert to fraction form
    226,321/471,242 = 471,242/x
  3. Step 3: Cross multiply
    226,321x = 471,242 × 471,242
  4. Step 4: Simplify right side
    226,321x = 222,069,022,564
  5. Step 5: Solve for x
    x = 222,069,022,564/226,321
  6. Step 6: Final answer
    x = 981,212.63

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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.