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Finding the Third Proportional to 359.38 and 578.44

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Solution

The third proportional to 359.38 and 578.44 is: 931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.38 : 578.44 = 578.44 : x
  2. Step 2: Convert to fraction form
    359.38/578.44 = 578.44/x
  3. Step 3: Cross multiply
    359.38x = 578.44 × 578.44
  4. Step 4: Simplify right side
    359.38x = 334,589.94
  5. Step 5: Solve for x
    x = 334,589.94/359.38
  6. Step 6: Final answer
    x = 931.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.