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Finding the Third Proportional to 397.69 and 465.19

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Solution

The third proportional to 397.69 and 465.19 is: 544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.69 : 465.19 = 465.19 : x
  2. Step 2: Convert to fraction form
    397.69/465.19 = 465.19/x
  3. Step 3: Cross multiply
    397.69x = 465.19 × 465.19
  4. Step 4: Simplify right side
    397.69x = 216,399.41
  5. Step 5: Solve for x
    x = 216,399.41/397.69
  6. Step 6: Final answer
    x = 544.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.