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Finding the Third Proportional to 576 and 1,179

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Solution

The third proportional to 576 and 1,179 is: 2,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 1,179 = 1,179 : x
  2. Step 2: Convert to fraction form
    576/1,179 = 1,179/x
  3. Step 3: Cross multiply
    576x = 1,179 × 1,179
  4. Step 4: Simplify right side
    576x = 1,390,041
  5. Step 5: Solve for x
    x = 1,390,041/576
  6. Step 6: Final answer
    x = 2,413.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.