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Finding the Third Proportional to 406.97 and 959.06

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Solution

The third proportional to 406.97 and 959.06 is: 2,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 959.06 = 959.06 : x
  2. Step 2: Convert to fraction form
    406.97/959.06 = 959.06/x
  3. Step 3: Cross multiply
    406.97x = 959.06 × 959.06
  4. Step 4: Simplify right side
    406.97x = 919,800.88
  5. Step 5: Solve for x
    x = 919,800.88/406.97
  6. Step 6: Final answer
    x = 2,260.13

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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.