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Finding the Third Proportional to 399.84 and 605.91

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Solution

The third proportional to 399.84 and 605.91 is: 918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 605.91 = 605.91 : x
  2. Step 2: Convert to fraction form
    399.84/605.91 = 605.91/x
  3. Step 3: Cross multiply
    399.84x = 605.91 × 605.91
  4. Step 4: Simplify right side
    399.84x = 367,122.38
  5. Step 5: Solve for x
    x = 367,122.38/399.84
  6. Step 6: Final answer
    x = 918.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.