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Finding the Third Proportional to 321.94 and 771.84

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Solution

The third proportional to 321.94 and 771.84 is: 1,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 771.84 = 771.84 : x
  2. Step 2: Convert to fraction form
    321.94/771.84 = 771.84/x
  3. Step 3: Cross multiply
    321.94x = 771.84 × 771.84
  4. Step 4: Simplify right side
    321.94x = 595,742.77
  5. Step 5: Solve for x
    x = 595,742.77/321.94
  6. Step 6: Final answer
    x = 1,850.49

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.