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Finding the Third Proportional to 406.13 and 438.19

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Solution

The third proportional to 406.13 and 438.19 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 438.19 = 438.19 : x
  2. Step 2: Convert to fraction form
    406.13/438.19 = 438.19/x
  3. Step 3: Cross multiply
    406.13x = 438.19 × 438.19
  4. Step 4: Simplify right side
    406.13x = 192,008.29
  5. Step 5: Solve for x
    x = 192,008.29/406.13
  6. Step 6: Final answer
    x = 472.78

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.