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Finding the Third Proportional to 444.75 and 584.63

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Solution

The third proportional to 444.75 and 584.63 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.75 : 584.63 = 584.63 : x
  2. Step 2: Convert to fraction form
    444.75/584.63 = 584.63/x
  3. Step 3: Cross multiply
    444.75x = 584.63 × 584.63
  4. Step 4: Simplify right side
    444.75x = 341,786.39
  5. Step 5: Solve for x
    x = 341,786.39/444.75
  6. Step 6: Final answer
    x = 768.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.