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Finding the Third Proportional to 416.81 and 982.13

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Solution

The third proportional to 416.81 and 982.13 is: 2,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 982.13 = 982.13 : x
  2. Step 2: Convert to fraction form
    416.81/982.13 = 982.13/x
  3. Step 3: Cross multiply
    416.81x = 982.13 × 982.13
  4. Step 4: Simplify right side
    416.81x = 964,569.52
  5. Step 5: Solve for x
    x = 964,569.52/416.81
  6. Step 6: Final answer
    x = 2,314.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.