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Finding the Third Proportional to 696.75 and 1,530.38

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Solution

The third proportional to 696.75 and 1,530.38 is: 3,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,530.38 = 1,530.38 : x
  2. Step 2: Convert to fraction form
    696.75/1,530.38 = 1,530.38/x
  3. Step 3: Cross multiply
    696.75x = 1,530.38 × 1,530.38
  4. Step 4: Simplify right side
    696.75x = 2,342,047.64
  5. Step 5: Solve for x
    x = 2,342,047.64/696.75
  6. Step 6: Final answer
    x = 3,361.39

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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.