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Finding the Third Proportional to 391.94 and 899.56

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Solution

The third proportional to 391.94 and 899.56 is: 2,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.94 : 899.56 = 899.56 : x
  2. Step 2: Convert to fraction form
    391.94/899.56 = 899.56/x
  3. Step 3: Cross multiply
    391.94x = 899.56 × 899.56
  4. Step 4: Simplify right side
    391.94x = 809,212.69
  5. Step 5: Solve for x
    x = 809,212.69/391.94
  6. Step 6: Final answer
    x = 2,064.65

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.