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Finding the Third Proportional to 349.79 and 736.12

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Solution

The third proportional to 349.79 and 736.12 is: 1,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 736.12 = 736.12 : x
  2. Step 2: Convert to fraction form
    349.79/736.12 = 736.12/x
  3. Step 3: Cross multiply
    349.79x = 736.12 × 736.12
  4. Step 4: Simplify right side
    349.79x = 541,871.39
  5. Step 5: Solve for x
    x = 541,871.39/349.79
  6. Step 6: Final answer
    x = 1,549.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.