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Finding the Third Proportional to 333.84 and 728.34

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Solution

The third proportional to 333.84 and 728.34 is: 1,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 728.34 = 728.34 : x
  2. Step 2: Convert to fraction form
    333.84/728.34 = 728.34/x
  3. Step 3: Cross multiply
    333.84x = 728.34 × 728.34
  4. Step 4: Simplify right side
    333.84x = 530,484.62
  5. Step 5: Solve for x
    x = 530,484.62/333.84
  6. Step 6: Final answer
    x = 1,589.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.