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Finding the Third Proportional to 334.13 and 735.12

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Solution

The third proportional to 334.13 and 735.12 is: 1,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 735.12 = 735.12 : x
  2. Step 2: Convert to fraction form
    334.13/735.12 = 735.12/x
  3. Step 3: Cross multiply
    334.13x = 735.12 × 735.12
  4. Step 4: Simplify right side
    334.13x = 540,397.28
  5. Step 5: Solve for x
    x = 540,397.28/334.13
  6. Step 6: Final answer
    x = 1,617.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.