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Finding the Third Proportional to 323.37 and 697.04

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Solution

The third proportional to 323.37 and 697.04 is: 1,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.37 : 697.04 = 697.04 : x
  2. Step 2: Convert to fraction form
    323.37/697.04 = 697.04/x
  3. Step 3: Cross multiply
    323.37x = 697.04 × 697.04
  4. Step 4: Simplify right side
    323.37x = 485,868.90
  5. Step 5: Solve for x
    x = 485,868.90/323.37
  6. Step 6: Final answer
    x = 1,502.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.