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Finding the Third Proportional to 263,795 and 567,589

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Solution

The third proportional to 263,795 and 567,589 is: 1,221,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,795 : 567,589 = 567,589 : x
  2. Step 2: Convert to fraction form
    263,795/567,589 = 567,589/x
  3. Step 3: Cross multiply
    263,795x = 567,589 × 567,589
  4. Step 4: Simplify right side
    263,795x = 322,157,272,921
  5. Step 5: Solve for x
    x = 322,157,272,921/263,795
  6. Step 6: Final answer
    x = 1,221,241.01

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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.