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Finding the Third Proportional to 376.84 and 605.13

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Solution

The third proportional to 376.84 and 605.13 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.84 : 605.13 = 605.13 : x
  2. Step 2: Convert to fraction form
    376.84/605.13 = 605.13/x
  3. Step 3: Cross multiply
    376.84x = 605.13 × 605.13
  4. Step 4: Simplify right side
    376.84x = 366,178.63
  5. Step 5: Solve for x
    x = 366,178.63/376.84
  6. Step 6: Final answer
    x = 971.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.