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Finding the Third Proportional to 629.50 and 997.25

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Solution

The third proportional to 629.50 and 997.25 is: 1,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 997.25 = 997.25 : x
  2. Step 2: Convert to fraction form
    629.50/997.25 = 997.25/x
  3. Step 3: Cross multiply
    629.50x = 997.25 × 997.25
  4. Step 4: Simplify right side
    629.50x = 994,507.56
  5. Step 5: Solve for x
    x = 994,507.56/629.50
  6. Step 6: Final answer
    x = 1,579.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.