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Finding the Third Proportional to 400.22 and 833.06

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Solution

The third proportional to 400.22 and 833.06 is: 1,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 833.06 = 833.06 : x
  2. Step 2: Convert to fraction form
    400.22/833.06 = 833.06/x
  3. Step 3: Cross multiply
    400.22x = 833.06 × 833.06
  4. Step 4: Simplify right side
    400.22x = 693,993.13
  5. Step 5: Solve for x
    x = 693,993.13/400.22
  6. Step 6: Final answer
    x = 1,734.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.