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Finding the Third Proportional to 285,593 and 627,227

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Solution

The third proportional to 285,593 and 627,227 is: 1,377,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,593 : 627,227 = 627,227 : x
  2. Step 2: Convert to fraction form
    285,593/627,227 = 627,227/x
  3. Step 3: Cross multiply
    285,593x = 627,227 × 627,227
  4. Step 4: Simplify right side
    285,593x = 393,413,709,529
  5. Step 5: Solve for x
    x = 393,413,709,529/285,593
  6. Step 6: Final answer
    x = 1,377,532.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.