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Finding the Third Proportional to 312.94 and 450.75

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Solution

The third proportional to 312.94 and 450.75 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 450.75 = 450.75 : x
  2. Step 2: Convert to fraction form
    312.94/450.75 = 450.75/x
  3. Step 3: Cross multiply
    312.94x = 450.75 × 450.75
  4. Step 4: Simplify right side
    312.94x = 203,175.56
  5. Step 5: Solve for x
    x = 203,175.56/312.94
  6. Step 6: Final answer
    x = 649.25

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.