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Finding the Third Proportional to 400.57 and 873.28

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Solution

The third proportional to 400.57 and 873.28 is: 1,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 873.28 = 873.28 : x
  2. Step 2: Convert to fraction form
    400.57/873.28 = 873.28/x
  3. Step 3: Cross multiply
    400.57x = 873.28 × 873.28
  4. Step 4: Simplify right side
    400.57x = 762,620.14
  5. Step 5: Solve for x
    x = 762,620.14/400.57
  6. Step 6: Final answer
    x = 1,903.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.