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Finding the Third Proportional to 283,583 and 425,375

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Solution

The third proportional to 283,583 and 425,375 is: 638,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,583 : 425,375 = 425,375 : x
  2. Step 2: Convert to fraction form
    283,583/425,375 = 425,375/x
  3. Step 3: Cross multiply
    283,583x = 425,375 × 425,375
  4. Step 4: Simplify right side
    283,583x = 180,943,890,625
  5. Step 5: Solve for x
    x = 180,943,890,625/283,583
  6. Step 6: Final answer
    x = 638,063.25

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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.