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Finding the Third Proportional to 467.81 and 984.94

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Solution

The third proportional to 467.81 and 984.94 is: 2,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 984.94 = 984.94 : x
  2. Step 2: Convert to fraction form
    467.81/984.94 = 984.94/x
  3. Step 3: Cross multiply
    467.81x = 984.94 × 984.94
  4. Step 4: Simplify right side
    467.81x = 970,101.88
  5. Step 5: Solve for x
    x = 970,101.88/467.81
  6. Step 6: Final answer
    x = 2,073.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.