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Finding the Third Proportional to 425,814 and 667,977

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Solution

The third proportional to 425,814 and 667,977 is: 1,047,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,814 : 667,977 = 667,977 : x
  2. Step 2: Convert to fraction form
    425,814/667,977 = 667,977/x
  3. Step 3: Cross multiply
    425,814x = 667,977 × 667,977
  4. Step 4: Simplify right side
    425,814x = 446,193,272,529
  5. Step 5: Solve for x
    x = 446,193,272,529/425,814
  6. Step 6: Final answer
    x = 1,047,859.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.