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Finding the Third Proportional to 226,769 and 496,504

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Solution

The third proportional to 226,769 and 496,504 is: 1,087,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,769 : 496,504 = 496,504 : x
  2. Step 2: Convert to fraction form
    226,769/496,504 = 496,504/x
  3. Step 3: Cross multiply
    226,769x = 496,504 × 496,504
  4. Step 4: Simplify right side
    226,769x = 246,516,222,016
  5. Step 5: Solve for x
    x = 246,516,222,016/226,769
  6. Step 6: Final answer
    x = 1,087,080.78

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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.