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Finding the Third Proportional to 659.44 and 996.56

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Solution

The third proportional to 659.44 and 996.56 is: 1,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 996.56 = 996.56 : x
  2. Step 2: Convert to fraction form
    659.44/996.56 = 996.56/x
  3. Step 3: Cross multiply
    659.44x = 996.56 × 996.56
  4. Step 4: Simplify right side
    659.44x = 993,136.82
  5. Step 5: Solve for x
    x = 993,136.82/659.44
  6. Step 6: Final answer
    x = 1,506.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.