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Finding the Third Proportional to 400.75 and 442.38

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Solution

The third proportional to 400.75 and 442.38 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 442.38 = 442.38 : x
  2. Step 2: Convert to fraction form
    400.75/442.38 = 442.38/x
  3. Step 3: Cross multiply
    400.75x = 442.38 × 442.38
  4. Step 4: Simplify right side
    400.75x = 195,695.64
  5. Step 5: Solve for x
    x = 195,695.64/400.75
  6. Step 6: Final answer
    x = 488.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.