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Finding the Third Proportional to 369.97 and 616.53

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Solution

The third proportional to 369.97 and 616.53 is: 1,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.97 : 616.53 = 616.53 : x
  2. Step 2: Convert to fraction form
    369.97/616.53 = 616.53/x
  3. Step 3: Cross multiply
    369.97x = 616.53 × 616.53
  4. Step 4: Simplify right side
    369.97x = 380,108.37
  5. Step 5: Solve for x
    x = 380,108.37/369.97
  6. Step 6: Final answer
    x = 1,027.41

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.