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Finding the Third Proportional to 226,920 and 495,387

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Solution

The third proportional to 226,920 and 495,387 is: 1,081,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,920 : 495,387 = 495,387 : x
  2. Step 2: Convert to fraction form
    226,920/495,387 = 495,387/x
  3. Step 3: Cross multiply
    226,920x = 495,387 × 495,387
  4. Step 4: Simplify right side
    226,920x = 245,408,279,769
  5. Step 5: Solve for x
    x = 245,408,279,769/226,920
  6. Step 6: Final answer
    x = 1,081,474.88

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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.