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Finding the Third Proportional to 227,640.38 and 495,411.19

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Solution

The third proportional to 227,640.38 and 495,411.19 is: 1,078,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,640.38 : 495,411.19 = 495,411.19 : x
  2. Step 2: Convert to fraction form
    227,640.38/495,411.19 = 495,411.19/x
  3. Step 3: Cross multiply
    227,640.38x = 495,411.19 × 495,411.19
  4. Step 4: Simplify right side
    227,640.38x = 245,432,244,700.16
  5. Step 5: Solve for x
    x = 245,432,244,700.16/227,640.38
  6. Step 6: Final answer
    x = 1,078,157.79

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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.