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Finding the Third Proportional to 226,059.75 and 483,198.19

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Solution

The third proportional to 226,059.75 and 483,198.19 is: 1,032,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,059.75 : 483,198.19 = 483,198.19 : x
  2. Step 2: Convert to fraction form
    226,059.75/483,198.19 = 483,198.19/x
  3. Step 3: Cross multiply
    226,059.75x = 483,198.19 × 483,198.19
  4. Step 4: Simplify right side
    226,059.75x = 233,480,488,403.29
  5. Step 5: Solve for x
    x = 233,480,488,403.29/226,059.75
  6. Step 6: Final answer
    x = 1,032,826.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.