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Finding the Third Proportional to 645.75 and 1,413.84

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Solution

The third proportional to 645.75 and 1,413.84 is: 3,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 1,413.84 = 1,413.84 : x
  2. Step 2: Convert to fraction form
    645.75/1,413.84 = 1,413.84/x
  3. Step 3: Cross multiply
    645.75x = 1,413.84 × 1,413.84
  4. Step 4: Simplify right side
    645.75x = 1,998,954.15
  5. Step 5: Solve for x
    x = 1,998,954.15/645.75
  6. Step 6: Final answer
    x = 3,095.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.