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Finding the Third Proportional to 413.25 and 598.88

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Solution

The third proportional to 413.25 and 598.88 is: 867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 598.88 = 598.88 : x
  2. Step 2: Convert to fraction form
    413.25/598.88 = 598.88/x
  3. Step 3: Cross multiply
    413.25x = 598.88 × 598.88
  4. Step 4: Simplify right side
    413.25x = 358,651.27
  5. Step 5: Solve for x
    x = 358,651.27/413.25
  6. Step 6: Final answer
    x = 867.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.