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Finding the Third Proportional to 453.94 and 951.33

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Solution

The third proportional to 453.94 and 951.33 is: 1,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 951.33 = 951.33 : x
  2. Step 2: Convert to fraction form
    453.94/951.33 = 951.33/x
  3. Step 3: Cross multiply
    453.94x = 951.33 × 951.33
  4. Step 4: Simplify right side
    453.94x = 905,025.20
  5. Step 5: Solve for x
    x = 905,025.20/453.94
  6. Step 6: Final answer
    x = 1,993.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.