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Finding the Third Proportional to 369.38 and 533.63

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Solution

The third proportional to 369.38 and 533.63 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 533.63 = 533.63 : x
  2. Step 2: Convert to fraction form
    369.38/533.63 = 533.63/x
  3. Step 3: Cross multiply
    369.38x = 533.63 × 533.63
  4. Step 4: Simplify right side
    369.38x = 284,755.64
  5. Step 5: Solve for x
    x = 284,755.64/369.38
  6. Step 6: Final answer
    x = 770.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.