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Finding the Third Proportional to 399.94 and 982.13

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Solution

The third proportional to 399.94 and 982.13 is: 2,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 982.13 = 982.13 : x
  2. Step 2: Convert to fraction form
    399.94/982.13 = 982.13/x
  3. Step 3: Cross multiply
    399.94x = 982.13 × 982.13
  4. Step 4: Simplify right side
    399.94x = 964,569.52
  5. Step 5: Solve for x
    x = 964,569.52/399.94
  6. Step 6: Final answer
    x = 2,411.80

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.