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Finding the Third Proportional to 413.81 and 934.13

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Solution

The third proportional to 413.81 and 934.13 is: 2,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 934.13 = 934.13 : x
  2. Step 2: Convert to fraction form
    413.81/934.13 = 934.13/x
  3. Step 3: Cross multiply
    413.81x = 934.13 × 934.13
  4. Step 4: Simplify right side
    413.81x = 872,589.52
  5. Step 5: Solve for x
    x = 872,589.52/413.81
  6. Step 6: Final answer
    x = 2,108.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.