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Finding the Third Proportional to 323.38 and 697.94

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Solution

The third proportional to 323.38 and 697.94 is: 1,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 697.94 = 697.94 : x
  2. Step 2: Convert to fraction form
    323.38/697.94 = 697.94/x
  3. Step 3: Cross multiply
    323.38x = 697.94 × 697.94
  4. Step 4: Simplify right side
    323.38x = 487,116.75
  5. Step 5: Solve for x
    x = 487,116.75/323.38
  6. Step 6: Final answer
    x = 1,506.35

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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.