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Finding the Third Proportional to 699.57 and 1,472.24

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Solution

The third proportional to 699.57 and 1,472.24 is: 3,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 1,472.24 = 1,472.24 : x
  2. Step 2: Convert to fraction form
    699.57/1,472.24 = 1,472.24/x
  3. Step 3: Cross multiply
    699.57x = 1,472.24 × 1,472.24
  4. Step 4: Simplify right side
    699.57x = 2,167,485.56
  5. Step 5: Solve for x
    x = 2,167,485.56/699.57
  6. Step 6: Final answer
    x = 3,098.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.