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Finding the Third Proportional to 303.96 and 472.29

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Solution

The third proportional to 303.96 and 472.29 is: 733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 472.29 = 472.29 : x
  2. Step 2: Convert to fraction form
    303.96/472.29 = 472.29/x
  3. Step 3: Cross multiply
    303.96x = 472.29 × 472.29
  4. Step 4: Simplify right side
    303.96x = 223,056.96
  5. Step 5: Solve for x
    x = 223,056.96/303.96
  6. Step 6: Final answer
    x = 733.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.