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Finding the Third Proportional to 227,931.75 and 495,999

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Solution

The third proportional to 227,931.75 and 495,999 is: 1,079,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,931.75 : 495,999 = 495,999 : x
  2. Step 2: Convert to fraction form
    227,931.75/495,999 = 495,999/x
  3. Step 3: Cross multiply
    227,931.75x = 495,999 × 495,999
  4. Step 4: Simplify right side
    227,931.75x = 246,015,008,001
  5. Step 5: Solve for x
    x = 246,015,008,001/227,931.75
  6. Step 6: Final answer
    x = 1,079,336.28

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