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Finding the Third Proportional to 467,163.75 and 613,425

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Solution

The third proportional to 467,163.75 and 613,425 is: 805,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,163.75 : 613,425 = 613,425 : x
  2. Step 2: Convert to fraction form
    467,163.75/613,425 = 613,425/x
  3. Step 3: Cross multiply
    467,163.75x = 613,425 × 613,425
  4. Step 4: Simplify right side
    467,163.75x = 376,290,230,625
  5. Step 5: Solve for x
    x = 376,290,230,625/467,163.75
  6. Step 6: Final answer
    x = 805,478.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.