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Finding the Third Proportional to 353.91 and 732.70

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Solution

The third proportional to 353.91 and 732.70 is: 1,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.91 : 732.70 = 732.70 : x
  2. Step 2: Convert to fraction form
    353.91/732.70 = 732.70/x
  3. Step 3: Cross multiply
    353.91x = 732.70 × 732.70
  4. Step 4: Simplify right side
    353.91x = 536,853.87
  5. Step 5: Solve for x
    x = 536,853.87/353.91
  6. Step 6: Final answer
    x = 1,516.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.