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Finding the Third Proportional to 406.75 and 942.75

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Solution

The third proportional to 406.75 and 942.75 is: 2,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 942.75 = 942.75 : x
  2. Step 2: Convert to fraction form
    406.75/942.75 = 942.75/x
  3. Step 3: Cross multiply
    406.75x = 942.75 × 942.75
  4. Step 4: Simplify right side
    406.75x = 888,777.56
  5. Step 5: Solve for x
    x = 888,777.56/406.75
  6. Step 6: Final answer
    x = 2,185.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.