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Finding the Third Proportional to 413.63 and 681.19

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Solution

The third proportional to 413.63 and 681.19 is: 1,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 681.19 = 681.19 : x
  2. Step 2: Convert to fraction form
    413.63/681.19 = 681.19/x
  3. Step 3: Cross multiply
    413.63x = 681.19 × 681.19
  4. Step 4: Simplify right side
    413.63x = 464,016.41
  5. Step 5: Solve for x
    x = 464,016.41/413.63
  6. Step 6: Final answer
    x = 1,121.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.