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Finding the Third Proportional to 629.72 and 926.02

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Solution

The third proportional to 629.72 and 926.02 is: 1,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.72 : 926.02 = 926.02 : x
  2. Step 2: Convert to fraction form
    629.72/926.02 = 926.02/x
  3. Step 3: Cross multiply
    629.72x = 926.02 × 926.02
  4. Step 4: Simplify right side
    629.72x = 857,504.94
  5. Step 5: Solve for x
    x = 857,504.94/629.72
  6. Step 6: Final answer
    x = 1,361.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.