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Finding the Third Proportional to 408.66 and 968.06

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Solution

The third proportional to 408.66 and 968.06 is: 2,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.66 : 968.06 = 968.06 : x
  2. Step 2: Convert to fraction form
    408.66/968.06 = 968.06/x
  3. Step 3: Cross multiply
    408.66x = 968.06 × 968.06
  4. Step 4: Simplify right side
    408.66x = 937,145.00
  5. Step 5: Solve for x
    x = 937,145.00/408.66
  6. Step 6: Final answer
    x = 2,293.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.