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Finding the Third Proportional to 226,284.75 and 471,340.69

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Solution

The third proportional to 226,284.75 and 471,340.69 is: 981,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,284.75 : 471,340.69 = 471,340.69 : x
  2. Step 2: Convert to fraction form
    226,284.75/471,340.69 = 471,340.69/x
  3. Step 3: Cross multiply
    226,284.75x = 471,340.69 × 471,340.69
  4. Step 4: Simplify right side
    226,284.75x = 222,162,043,692.97
  5. Step 5: Solve for x
    x = 222,162,043,692.97/226,284.75
  6. Step 6: Final answer
    x = 981,780.89

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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.