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Finding the Third Proportional to 227,517.75 and 495,389.25

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Solution

The third proportional to 227,517.75 and 495,389.25 is: 1,078,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,517.75 : 495,389.25 = 495,389.25 : x
  2. Step 2: Convert to fraction form
    227,517.75/495,389.25 = 495,389.25/x
  3. Step 3: Cross multiply
    227,517.75x = 495,389.25 × 495,389.25
  4. Step 4: Simplify right side
    227,517.75x = 245,410,509,015.56
  5. Step 5: Solve for x
    x = 245,410,509,015.56/227,517.75
  6. Step 6: Final answer
    x = 1,078,643.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.