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Finding the Third Proportional to 696.99 and 1,530.67

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Solution

The third proportional to 696.99 and 1,530.67 is: 3,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.99 : 1,530.67 = 1,530.67 : x
  2. Step 2: Convert to fraction form
    696.99/1,530.67 = 1,530.67/x
  3. Step 3: Cross multiply
    696.99x = 1,530.67 × 1,530.67
  4. Step 4: Simplify right side
    696.99x = 2,342,944.43
  5. Step 5: Solve for x
    x = 2,342,944.43/696.99
  6. Step 6: Final answer
    x = 3,361.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.