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Finding the Third Proportional to 495.91 and 1,078.31

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Solution

The third proportional to 495.91 and 1,078.31 is: 2,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.91 : 1,078.31 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    495.91/1,078.31 = 1,078.31/x
  3. Step 3: Cross multiply
    495.91x = 1,078.31 × 1,078.31
  4. Step 4: Simplify right side
    495.91x = 1,162,757.85
  5. Step 5: Solve for x
    x = 1,162,757.85/495.91
  6. Step 6: Final answer
    x = 2,344.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.