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Finding the Third Proportional to 227,903.63 and 495,942.75

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Solution

The third proportional to 227,903.63 and 495,942.75 is: 1,079,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903.63 : 495,942.75 = 495,942.75 : x
  2. Step 2: Convert to fraction form
    227,903.63/495,942.75 = 495,942.75/x
  3. Step 3: Cross multiply
    227,903.63x = 495,942.75 × 495,942.75
  4. Step 4: Simplify right side
    227,903.63x = 245,959,211,277.56
  5. Step 5: Solve for x
    x = 245,959,211,277.56/227,903.63
  6. Step 6: Final answer
    x = 1,079,224.66

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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.