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Finding the Third Proportional to 376.31 and 745.69

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Solution

The third proportional to 376.31 and 745.69 is: 1,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 745.69 = 745.69 : x
  2. Step 2: Convert to fraction form
    376.31/745.69 = 745.69/x
  3. Step 3: Cross multiply
    376.31x = 745.69 × 745.69
  4. Step 4: Simplify right side
    376.31x = 556,049.85
  5. Step 5: Solve for x
    x = 556,049.85/376.31
  6. Step 6: Final answer
    x = 1,477.63

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.