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Finding the Third Proportional to 611.50 and 668.38

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Solution

The third proportional to 611.50 and 668.38 is: 730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 668.38 = 668.38 : x
  2. Step 2: Convert to fraction form
    611.50/668.38 = 668.38/x
  3. Step 3: Cross multiply
    611.50x = 668.38 × 668.38
  4. Step 4: Simplify right side
    611.50x = 446,725.14
  5. Step 5: Solve for x
    x = 446,725.14/611.50
  6. Step 6: Final answer
    x = 730.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.