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Finding the Third Proportional to 697.69 and 1,452.94

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Solution

The third proportional to 697.69 and 1,452.94 is: 3,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 1,452.94 = 1,452.94 : x
  2. Step 2: Convert to fraction form
    697.69/1,452.94 = 1,452.94/x
  3. Step 3: Cross multiply
    697.69x = 1,452.94 × 1,452.94
  4. Step 4: Simplify right side
    697.69x = 2,111,027.38
  5. Step 5: Solve for x
    x = 2,111,027.38/697.69
  6. Step 6: Final answer
    x = 3,025.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.