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Finding the Third Proportional to 413.02 and 550.62

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Solution

The third proportional to 413.02 and 550.62 is: 734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 550.62 = 550.62 : x
  2. Step 2: Convert to fraction form
    413.02/550.62 = 550.62/x
  3. Step 3: Cross multiply
    413.02x = 550.62 × 550.62
  4. Step 4: Simplify right side
    413.02x = 303,179.29
  5. Step 5: Solve for x
    x = 303,179.29/413.02
  6. Step 6: Final answer
    x = 734.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.