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Finding the Third Proportional to 662.25 and 969.38

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Solution

The third proportional to 662.25 and 969.38 is: 1,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 969.38 = 969.38 : x
  2. Step 2: Convert to fraction form
    662.25/969.38 = 969.38/x
  3. Step 3: Cross multiply
    662.25x = 969.38 × 969.38
  4. Step 4: Simplify right side
    662.25x = 939,687.89
  5. Step 5: Solve for x
    x = 939,687.89/662.25
  6. Step 6: Final answer
    x = 1,418.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.