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Finding the Third Proportional to 263,777 and 567,517

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Solution

The third proportional to 263,777 and 567,517 is: 1,221,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,777 : 567,517 = 567,517 : x
  2. Step 2: Convert to fraction form
    263,777/567,517 = 567,517/x
  3. Step 3: Cross multiply
    263,777x = 567,517 × 567,517
  4. Step 4: Simplify right side
    263,777x = 322,075,545,289
  5. Step 5: Solve for x
    x = 322,075,545,289/263,777
  6. Step 6: Final answer
    x = 1,221,014.51

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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.