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Finding the Third Proportional to 352.27 and 756.14

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Solution

The third proportional to 352.27 and 756.14 is: 1,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.27 : 756.14 = 756.14 : x
  2. Step 2: Convert to fraction form
    352.27/756.14 = 756.14/x
  3. Step 3: Cross multiply
    352.27x = 756.14 × 756.14
  4. Step 4: Simplify right side
    352.27x = 571,748.64
  5. Step 5: Solve for x
    x = 571,748.64/352.27
  6. Step 6: Final answer
    x = 1,623.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.