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Finding the Third Proportional to 729 and 996

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Solution

The third proportional to 729 and 996 is: 1,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 996 = 996 : x
  2. Step 2: Convert to fraction form
    729/996 = 996/x
  3. Step 3: Cross multiply
    729x = 996 × 996
  4. Step 4: Simplify right side
    729x = 992,016
  5. Step 5: Solve for x
    x = 992,016/729
  6. Step 6: Final answer
    x = 1,360.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.