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Finding the Third Proportional to 633.75 and 1,472.38

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Solution

The third proportional to 633.75 and 1,472.38 is: 3,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 1,472.38 = 1,472.38 : x
  2. Step 2: Convert to fraction form
    633.75/1,472.38 = 1,472.38/x
  3. Step 3: Cross multiply
    633.75x = 1,472.38 × 1,472.38
  4. Step 4: Simplify right side
    633.75x = 2,167,888.14
  5. Step 5: Solve for x
    x = 2,167,888.14/633.75
  6. Step 6: Final answer
    x = 3,420.73

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.