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Finding the Third Proportional to 427.41 and 942.56

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Solution

The third proportional to 427.41 and 942.56 is: 2,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.41 : 942.56 = 942.56 : x
  2. Step 2: Convert to fraction form
    427.41/942.56 = 942.56/x
  3. Step 3: Cross multiply
    427.41x = 942.56 × 942.56
  4. Step 4: Simplify right side
    427.41x = 888,424.07
  5. Step 5: Solve for x
    x = 888,424.07/427.41
  6. Step 6: Final answer
    x = 2,078.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.