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Finding the Third Proportional to 457.31 and 942.47

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Solution

The third proportional to 457.31 and 942.47 is: 1,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 942.47 = 942.47 : x
  2. Step 2: Convert to fraction form
    457.31/942.47 = 942.47/x
  3. Step 3: Cross multiply
    457.31x = 942.47 × 942.47
  4. Step 4: Simplify right side
    457.31x = 888,247.34
  5. Step 5: Solve for x
    x = 888,247.34/457.31
  6. Step 6: Final answer
    x = 1,942.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.