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Finding the Third Proportional to 401.84 and 613.83

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Solution

The third proportional to 401.84 and 613.83 is: 937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 613.83 = 613.83 : x
  2. Step 2: Convert to fraction form
    401.84/613.83 = 613.83/x
  3. Step 3: Cross multiply
    401.84x = 613.83 × 613.83
  4. Step 4: Simplify right side
    401.84x = 376,784.97
  5. Step 5: Solve for x
    x = 376,784.97/401.84
  6. Step 6: Final answer
    x = 937.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.