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Finding the Third Proportional to 399.56 and 938.06

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Solution

The third proportional to 399.56 and 938.06 is: 2,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 938.06 = 938.06 : x
  2. Step 2: Convert to fraction form
    399.56/938.06 = 938.06/x
  3. Step 3: Cross multiply
    399.56x = 938.06 × 938.06
  4. Step 4: Simplify right side
    399.56x = 879,961.25
  5. Step 5: Solve for x
    x = 879,961.25/399.56
  6. Step 6: Final answer
    x = 2,202.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.