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Finding the Third Proportional to 376,992 and 797,616

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Solution

The third proportional to 376,992 and 797,616 is: 1,687,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,992 : 797,616 = 797,616 : x
  2. Step 2: Convert to fraction form
    376,992/797,616 = 797,616/x
  3. Step 3: Cross multiply
    376,992x = 797,616 × 797,616
  4. Step 4: Simplify right side
    376,992x = 636,191,283,456
  5. Step 5: Solve for x
    x = 636,191,283,456/376,992
  6. Step 6: Final answer
    x = 1,687,545.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.