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Finding the Third Proportional to 275.91 and 664.31

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Solution

The third proportional to 275.91 and 664.31 is: 1,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.91 : 664.31 = 664.31 : x
  2. Step 2: Convert to fraction form
    275.91/664.31 = 664.31/x
  3. Step 3: Cross multiply
    275.91x = 664.31 × 664.31
  4. Step 4: Simplify right side
    275.91x = 441,311.10
  5. Step 5: Solve for x
    x = 441,311.10/275.91
  6. Step 6: Final answer
    x = 1,599.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.