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Finding the Third Proportional to 439.59 and 604.41

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Solution

The third proportional to 439.59 and 604.41 is: 831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.59 : 604.41 = 604.41 : x
  2. Step 2: Convert to fraction form
    439.59/604.41 = 604.41/x
  3. Step 3: Cross multiply
    439.59x = 604.41 × 604.41
  4. Step 4: Simplify right side
    439.59x = 365,306.92
  5. Step 5: Solve for x
    x = 365,306.92/439.59
  6. Step 6: Final answer
    x = 831.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.