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Finding the Third Proportional to 225,870 and 491,104

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Solution

The third proportional to 225,870 and 491,104 is: 1,067,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,870 : 491,104 = 491,104 : x
  2. Step 2: Convert to fraction form
    225,870/491,104 = 491,104/x
  3. Step 3: Cross multiply
    225,870x = 491,104 × 491,104
  4. Step 4: Simplify right side
    225,870x = 241,183,138,816
  5. Step 5: Solve for x
    x = 241,183,138,816/225,870
  6. Step 6: Final answer
    x = 1,067,796.25

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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.