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Finding the Third Proportional to 229,474 and 495,204

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Solution

The third proportional to 229,474 and 495,204 is: 1,068,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,474 : 495,204 = 495,204 : x
  2. Step 2: Convert to fraction form
    229,474/495,204 = 495,204/x
  3. Step 3: Cross multiply
    229,474x = 495,204 × 495,204
  4. Step 4: Simplify right side
    229,474x = 245,227,001,616
  5. Step 5: Solve for x
    x = 245,227,001,616/229,474
  6. Step 6: Final answer
    x = 1,068,648.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.