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Finding the Third Proportional to 227,366 and 495,098

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Solution

The third proportional to 227,366 and 495,098 is: 1,078,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,366 : 495,098 = 495,098 : x
  2. Step 2: Convert to fraction form
    227,366/495,098 = 495,098/x
  3. Step 3: Cross multiply
    227,366x = 495,098 × 495,098
  4. Step 4: Simplify right side
    227,366x = 245,122,029,604
  5. Step 5: Solve for x
    x = 245,122,029,604/227,366
  6. Step 6: Final answer
    x = 1,078,094.48

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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.