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Finding the Third Proportional to 359.44 and 463.22

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Solution

The third proportional to 359.44 and 463.22 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 463.22 = 463.22 : x
  2. Step 2: Convert to fraction form
    359.44/463.22 = 463.22/x
  3. Step 3: Cross multiply
    359.44x = 463.22 × 463.22
  4. Step 4: Simplify right side
    359.44x = 214,571.61
  5. Step 5: Solve for x
    x = 214,571.61/359.44
  6. Step 6: Final answer
    x = 596.97

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.