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Finding the Third Proportional to 226,350.56 and 471,295.69

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Solution

The third proportional to 226,350.56 and 471,295.69 is: 981,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,350.56 : 471,295.69 = 471,295.69 : x
  2. Step 2: Convert to fraction form
    226,350.56/471,295.69 = 471,295.69/x
  3. Step 3: Cross multiply
    226,350.56x = 471,295.69 × 471,295.69
  4. Step 4: Simplify right side
    226,350.56x = 222,119,625,056.10
  5. Step 5: Solve for x
    x = 222,119,625,056.10/226,350.56
  6. Step 6: Final answer
    x = 981,308.03

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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.