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Finding the Third Proportional to 263,797 and 567,593

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Solution

The third proportional to 263,797 and 567,593 is: 1,221,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,797 : 567,593 = 567,593 : x
  2. Step 2: Convert to fraction form
    263,797/567,593 = 567,593/x
  3. Step 3: Cross multiply
    263,797x = 567,593 × 567,593
  4. Step 4: Simplify right side
    263,797x = 322,161,813,649
  5. Step 5: Solve for x
    x = 322,161,813,649/263,797
  6. Step 6: Final answer
    x = 1,221,248.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.