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Finding the Third Proportional to 226,086 and 491,052

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Solution

The third proportional to 226,086 and 491,052 is: 1,066,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,086 : 491,052 = 491,052 : x
  2. Step 2: Convert to fraction form
    226,086/491,052 = 491,052/x
  3. Step 3: Cross multiply
    226,086x = 491,052 × 491,052
  4. Step 4: Simplify right side
    226,086x = 241,132,066,704
  5. Step 5: Solve for x
    x = 241,132,066,704/226,086
  6. Step 6: Final answer
    x = 1,066,550.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.