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Finding the Third Proportional to 446,055 and 667,134

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Solution

The third proportional to 446,055 and 667,134 is: 997,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,055 : 667,134 = 667,134 : x
  2. Step 2: Convert to fraction form
    446,055/667,134 = 667,134/x
  3. Step 3: Cross multiply
    446,055x = 667,134 × 667,134
  4. Step 4: Simplify right side
    446,055x = 445,067,773,956
  5. Step 5: Solve for x
    x = 445,067,773,956/446,055
  6. Step 6: Final answer
    x = 997,786.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.