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Finding the Third Proportional to 481,728 and 677,782

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Solution

The third proportional to 481,728 and 677,782 is: 953,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,728 : 677,782 = 677,782 : x
  2. Step 2: Convert to fraction form
    481,728/677,782 = 677,782/x
  3. Step 3: Cross multiply
    481,728x = 677,782 × 677,782
  4. Step 4: Simplify right side
    481,728x = 459,388,439,524
  5. Step 5: Solve for x
    x = 459,388,439,524/481,728
  6. Step 6: Final answer
    x = 953,626.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.