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Finding the Third Proportional to 629.30 and 1,375.45

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Solution

The third proportional to 629.30 and 1,375.45 is: 3,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 1,375.45 = 1,375.45 : x
  2. Step 2: Convert to fraction form
    629.30/1,375.45 = 1,375.45/x
  3. Step 3: Cross multiply
    629.30x = 1,375.45 × 1,375.45
  4. Step 4: Simplify right side
    629.30x = 1,891,871.30
  5. Step 5: Solve for x
    x = 1,891,871.30/629.30
  6. Step 6: Final answer
    x = 3,006.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.