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Finding the Third Proportional to 406.27 and 620.79

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Solution

The third proportional to 406.27 and 620.79 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 620.79 = 620.79 : x
  2. Step 2: Convert to fraction form
    406.27/620.79 = 620.79/x
  3. Step 3: Cross multiply
    406.27x = 620.79 × 620.79
  4. Step 4: Simplify right side
    406.27x = 385,379.06
  5. Step 5: Solve for x
    x = 385,379.06/406.27
  6. Step 6: Final answer
    x = 948.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.