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Finding the Third Proportional to 413.81 and 620.91

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Solution

The third proportional to 413.81 and 620.91 is: 931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 620.91 = 620.91 : x
  2. Step 2: Convert to fraction form
    413.81/620.91 = 620.91/x
  3. Step 3: Cross multiply
    413.81x = 620.91 × 620.91
  4. Step 4: Simplify right side
    413.81x = 385,524.57
  5. Step 5: Solve for x
    x = 385,524.57/413.81
  6. Step 6: Final answer
    x = 931.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.