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Finding the Third Proportional to 413.75 and 682.88

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Solution

The third proportional to 413.75 and 682.88 is: 1,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 682.88 = 682.88 : x
  2. Step 2: Convert to fraction form
    413.75/682.88 = 682.88/x
  3. Step 3: Cross multiply
    413.75x = 682.88 × 682.88
  4. Step 4: Simplify right side
    413.75x = 466,318.27
  5. Step 5: Solve for x
    x = 466,318.27/413.75
  6. Step 6: Final answer
    x = 1,127.05

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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.