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Finding the Third Proportional to 437.75 and 593.88

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Solution

The third proportional to 437.75 and 593.88 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 593.88 = 593.88 : x
  2. Step 2: Convert to fraction form
    437.75/593.88 = 593.88/x
  3. Step 3: Cross multiply
    437.75x = 593.88 × 593.88
  4. Step 4: Simplify right side
    437.75x = 352,687.52
  5. Step 5: Solve for x
    x = 352,687.52/437.75
  6. Step 6: Final answer
    x = 805.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.