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Finding the Third Proportional to 226,334.25 and 491,607

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Solution

The third proportional to 226,334.25 and 491,607 is: 1,067,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,334.25 : 491,607 = 491,607 : x
  2. Step 2: Convert to fraction form
    226,334.25/491,607 = 491,607/x
  3. Step 3: Cross multiply
    226,334.25x = 491,607 × 491,607
  4. Step 4: Simplify right side
    226,334.25x = 241,677,442,449
  5. Step 5: Solve for x
    x = 241,677,442,449/226,334.25
  6. Step 6: Final answer
    x = 1,067,789.97

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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.