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Finding the Third Proportional to 400.57 and 833.41

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Solution

The third proportional to 400.57 and 833.41 is: 1,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 833.41 = 833.41 : x
  2. Step 2: Convert to fraction form
    400.57/833.41 = 833.41/x
  3. Step 3: Cross multiply
    400.57x = 833.41 × 833.41
  4. Step 4: Simplify right side
    400.57x = 694,579.00
  5. Step 5: Solve for x
    x = 694,579.00/400.57
  6. Step 6: Final answer
    x = 1,733.98

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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.