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Finding the Third Proportional to 226,792 and 496,676

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Solution

The third proportional to 226,792 and 496,676 is: 1,087,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792 : 496,676 = 496,676 : x
  2. Step 2: Convert to fraction form
    226,792/496,676 = 496,676/x
  3. Step 3: Cross multiply
    226,792x = 496,676 × 496,676
  4. Step 4: Simplify right side
    226,792x = 246,687,048,976
  5. Step 5: Solve for x
    x = 246,687,048,976/226,792
  6. Step 6: Final answer
    x = 1,087,723.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.