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Finding the Third Proportional to 283,761 and 425,682

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Solution

The third proportional to 283,761 and 425,682 is: 638,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,761 : 425,682 = 425,682 : x
  2. Step 2: Convert to fraction form
    283,761/425,682 = 425,682/x
  3. Step 3: Cross multiply
    283,761x = 425,682 × 425,682
  4. Step 4: Simplify right side
    283,761x = 181,205,165,124
  5. Step 5: Solve for x
    x = 181,205,165,124/283,761
  6. Step 6: Final answer
    x = 638,583.76

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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.