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Finding the Third Proportional to 413.81 and 918.75

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Solution

The third proportional to 413.81 and 918.75 is: 2,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 918.75 = 918.75 : x
  2. Step 2: Convert to fraction form
    413.81/918.75 = 918.75/x
  3. Step 3: Cross multiply
    413.81x = 918.75 × 918.75
  4. Step 4: Simplify right side
    413.81x = 844,101.56
  5. Step 5: Solve for x
    x = 844,101.56/413.81
  6. Step 6: Final answer
    x = 2,039.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.