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Finding the Third Proportional to 376.03 and 409.78

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Solution

The third proportional to 376.03 and 409.78 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.03 : 409.78 = 409.78 : x
  2. Step 2: Convert to fraction form
    376.03/409.78 = 409.78/x
  3. Step 3: Cross multiply
    376.03x = 409.78 × 409.78
  4. Step 4: Simplify right side
    376.03x = 167,920.67
  5. Step 5: Solve for x
    x = 167,920.67/376.03
  6. Step 6: Final answer
    x = 446.56

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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.