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Finding the Third Proportional to 367,367 and 567,420

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Solution

The third proportional to 367,367 and 567,420 is: 876,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,367 : 567,420 = 567,420 : x
  2. Step 2: Convert to fraction form
    367,367/567,420 = 567,420/x
  3. Step 3: Cross multiply
    367,367x = 567,420 × 567,420
  4. Step 4: Simplify right side
    367,367x = 321,965,456,400
  5. Step 5: Solve for x
    x = 321,965,456,400/367,367
  6. Step 6: Final answer
    x = 876,413.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.