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Finding the Third Proportional to 343,972 and 495,449

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Solution

The third proportional to 343,972 and 495,449 is: 713,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,972 : 495,449 = 495,449 : x
  2. Step 2: Convert to fraction form
    343,972/495,449 = 495,449/x
  3. Step 3: Cross multiply
    343,972x = 495,449 × 495,449
  4. Step 4: Simplify right side
    343,972x = 245,469,711,601
  5. Step 5: Solve for x
    x = 245,469,711,601/343,972
  6. Step 6: Final answer
    x = 713,632.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.