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Finding the Third Proportional to 280,163.25 and 619,197.75

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Solution

The third proportional to 280,163.25 and 619,197.75 is: 1,368,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,163.25 : 619,197.75 = 619,197.75 : x
  2. Step 2: Convert to fraction form
    280,163.25/619,197.75 = 619,197.75/x
  3. Step 3: Cross multiply
    280,163.25x = 619,197.75 × 619,197.75
  4. Step 4: Simplify right side
    280,163.25x = 383,405,853,605.06
  5. Step 5: Solve for x
    x = 383,405,853,605.06/280,163.25
  6. Step 6: Final answer
    x = 1,368,508.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.