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Finding the Third Proportional to 406.13 and 421.31

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Solution

The third proportional to 406.13 and 421.31 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 421.31 = 421.31 : x
  2. Step 2: Convert to fraction form
    406.13/421.31 = 421.31/x
  3. Step 3: Cross multiply
    406.13x = 421.31 × 421.31
  4. Step 4: Simplify right side
    406.13x = 177,504.22
  5. Step 5: Solve for x
    x = 177,504.22/406.13
  6. Step 6: Final answer
    x = 437.07

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.