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Finding the Third Proportional to 433.13 and 697.69

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Solution

The third proportional to 433.13 and 697.69 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 697.69 = 697.69 : x
  2. Step 2: Convert to fraction form
    433.13/697.69 = 697.69/x
  3. Step 3: Cross multiply
    433.13x = 697.69 × 697.69
  4. Step 4: Simplify right side
    433.13x = 486,767.85
  5. Step 5: Solve for x
    x = 486,767.85/433.13
  6. Step 6: Final answer
    x = 1,123.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.