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Finding the Third Proportional to 334.69 and 735.47

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Solution

The third proportional to 334.69 and 735.47 is: 1,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 735.47 = 735.47 : x
  2. Step 2: Convert to fraction form
    334.69/735.47 = 735.47/x
  3. Step 3: Cross multiply
    334.69x = 735.47 × 735.47
  4. Step 4: Simplify right side
    334.69x = 540,914.28
  5. Step 5: Solve for x
    x = 540,914.28/334.69
  6. Step 6: Final answer
    x = 1,616.18

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Why These Related Problems?

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