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Finding the Third Proportional to 226,334 and 491,610

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Solution

The third proportional to 226,334 and 491,610 is: 1,067,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,334 : 491,610 = 491,610 : x
  2. Step 2: Convert to fraction form
    226,334/491,610 = 491,610/x
  3. Step 3: Cross multiply
    226,334x = 491,610 × 491,610
  4. Step 4: Simplify right side
    226,334x = 241,680,392,100
  5. Step 5: Solve for x
    x = 241,680,392,100/226,334
  6. Step 6: Final answer
    x = 1,067,804.18

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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.