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Finding the Third Proportional to 664.45 and 951.12

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Solution

The third proportional to 664.45 and 951.12 is: 1,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.45 : 951.12 = 951.12 : x
  2. Step 2: Convert to fraction form
    664.45/951.12 = 951.12/x
  3. Step 3: Cross multiply
    664.45x = 951.12 × 951.12
  4. Step 4: Simplify right side
    664.45x = 904,623.90
  5. Step 5: Solve for x
    x = 904,623.90/664.45
  6. Step 6: Final answer
    x = 1,361.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.