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Finding the Third Proportional to 205,560.94 and 495,219.75

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Solution

The third proportional to 205,560.94 and 495,219.75 is: 1,193,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,560.94 : 495,219.75 = 495,219.75 : x
  2. Step 2: Convert to fraction form
    205,560.94/495,219.75 = 495,219.75/x
  3. Step 3: Cross multiply
    205,560.94x = 495,219.75 × 495,219.75
  4. Step 4: Simplify right side
    205,560.94x = 245,242,600,790.06
  5. Step 5: Solve for x
    x = 245,242,600,790.06/205,560.94
  6. Step 6: Final answer
    x = 1,193,040.88

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.