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Finding the Third Proportional to 493.31 and 964.13

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Solution

The third proportional to 493.31 and 964.13 is: 1,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.31 : 964.13 = 964.13 : x
  2. Step 2: Convert to fraction form
    493.31/964.13 = 964.13/x
  3. Step 3: Cross multiply
    493.31x = 964.13 × 964.13
  4. Step 4: Simplify right side
    493.31x = 929,537.02
  5. Step 5: Solve for x
    x = 929,537.02/493.31
  6. Step 6: Final answer
    x = 1,884.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.