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Finding the Third Proportional to 467.31 and 991.56

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Solution

The third proportional to 467.31 and 991.56 is: 2,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 991.56 = 991.56 : x
  2. Step 2: Convert to fraction form
    467.31/991.56 = 991.56/x
  3. Step 3: Cross multiply
    467.31x = 991.56 × 991.56
  4. Step 4: Simplify right side
    467.31x = 983,196.19
  5. Step 5: Solve for x
    x = 983,196.19/467.31
  6. Step 6: Final answer
    x = 2,103.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.