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Finding the Third Proportional to 277.03 and 413.72

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Solution

The third proportional to 277.03 and 413.72 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.03 : 413.72 = 413.72 : x
  2. Step 2: Convert to fraction form
    277.03/413.72 = 413.72/x
  3. Step 3: Cross multiply
    277.03x = 413.72 × 413.72
  4. Step 4: Simplify right side
    277.03x = 171,163.20
  5. Step 5: Solve for x
    x = 171,163.20/277.03
  6. Step 6: Final answer
    x = 617.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.