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Finding the Third Proportional to 227,569 and 495,256

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Solution

The third proportional to 227,569 and 495,256 is: 1,077,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,569 : 495,256 = 495,256 : x
  2. Step 2: Convert to fraction form
    227,569/495,256 = 495,256/x
  3. Step 3: Cross multiply
    227,569x = 495,256 × 495,256
  4. Step 4: Simplify right side
    227,569x = 245,278,505,536
  5. Step 5: Solve for x
    x = 245,278,505,536/227,569
  6. Step 6: Final answer
    x = 1,077,820.38

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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.