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Finding the Third Proportional to 413.25 and 914.25

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Solution

The third proportional to 413.25 and 914.25 is: 2,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 914.25 = 914.25 : x
  2. Step 2: Convert to fraction form
    413.25/914.25 = 914.25/x
  3. Step 3: Cross multiply
    413.25x = 914.25 × 914.25
  4. Step 4: Simplify right side
    413.25x = 835,853.06
  5. Step 5: Solve for x
    x = 835,853.06/413.25
  6. Step 6: Final answer
    x = 2,022.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.