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Finding the Third Proportional to 225,868 and 491,100

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Solution

The third proportional to 225,868 and 491,100 is: 1,067,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,868 : 491,100 = 491,100 : x
  2. Step 2: Convert to fraction form
    225,868/491,100 = 491,100/x
  3. Step 3: Cross multiply
    225,868x = 491,100 × 491,100
  4. Step 4: Simplify right side
    225,868x = 241,179,210,000
  5. Step 5: Solve for x
    x = 241,179,210,000/225,868
  6. Step 6: Final answer
    x = 1,067,788.31

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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.