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Finding the Third Proportional to 268,197.75 and 558,447.75

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Solution

The third proportional to 268,197.75 and 558,447.75 is: 1,162,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,197.75 : 558,447.75 = 558,447.75 : x
  2. Step 2: Convert to fraction form
    268,197.75/558,447.75 = 558,447.75/x
  3. Step 3: Cross multiply
    268,197.75x = 558,447.75 × 558,447.75
  4. Step 4: Simplify right side
    268,197.75x = 311,863,889,480.06
  5. Step 5: Solve for x
    x = 311,863,889,480.06/268,197.75
  6. Step 6: Final answer
    x = 1,162,813.22

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.