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Finding the Third Proportional to 226,782 and 496,530

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Solution

The third proportional to 226,782 and 496,530 is: 1,087,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,782 : 496,530 = 496,530 : x
  2. Step 2: Convert to fraction form
    226,782/496,530 = 496,530/x
  3. Step 3: Cross multiply
    226,782x = 496,530 × 496,530
  4. Step 4: Simplify right side
    226,782x = 246,542,040,900
  5. Step 5: Solve for x
    x = 246,542,040,900/226,782
  6. Step 6: Final answer
    x = 1,087,132.32

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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.