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Finding the Third Proportional to 329.77 and 697.39

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Solution

The third proportional to 329.77 and 697.39 is: 1,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 697.39 = 697.39 : x
  2. Step 2: Convert to fraction form
    329.77/697.39 = 697.39/x
  3. Step 3: Cross multiply
    329.77x = 697.39 × 697.39
  4. Step 4: Simplify right side
    329.77x = 486,348.02
  5. Step 5: Solve for x
    x = 486,348.02/329.77
  6. Step 6: Final answer
    x = 1,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.