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Finding the Third Proportional to 413.63 and 768.75

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Solution

The third proportional to 413.63 and 768.75 is: 1,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 768.75 = 768.75 : x
  2. Step 2: Convert to fraction form
    413.63/768.75 = 768.75/x
  3. Step 3: Cross multiply
    413.63x = 768.75 × 768.75
  4. Step 4: Simplify right side
    413.63x = 590,976.56
  5. Step 5: Solve for x
    x = 590,976.56/413.63
  6. Step 6: Final answer
    x = 1,428.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.