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Finding the Third Proportional to 225,855 and 491,074.50

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Solution

The third proportional to 225,855 and 491,074.50 is: 1,067,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855 : 491,074.50 = 491,074.50 : x
  2. Step 2: Convert to fraction form
    225,855/491,074.50 = 491,074.50/x
  3. Step 3: Cross multiply
    225,855x = 491,074.50 × 491,074.50
  4. Step 4: Simplify right side
    225,855x = 241,154,164,550.25
  5. Step 5: Solve for x
    x = 241,154,164,550.25/225,855
  6. Step 6: Final answer
    x = 1,067,738.88

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