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Finding the Third Proportional to 227,930.63 and 495,996.75

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Solution

The third proportional to 227,930.63 and 495,996.75 is: 1,079,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,930.63 : 495,996.75 = 495,996.75 : x
  2. Step 2: Convert to fraction form
    227,930.63/495,996.75 = 495,996.75/x
  3. Step 3: Cross multiply
    227,930.63x = 495,996.75 × 495,996.75
  4. Step 4: Simplify right side
    227,930.63x = 246,012,776,010.56
  5. Step 5: Solve for x
    x = 246,012,776,010.56/227,930.63
  6. Step 6: Final answer
    x = 1,079,331.82

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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.