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Finding the Third Proportional to 372,469.50 and 576,621

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Solution

The third proportional to 372,469.50 and 576,621 is: 892,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,469.50 : 576,621 = 576,621 : x
  2. Step 2: Convert to fraction form
    372,469.50/576,621 = 576,621/x
  3. Step 3: Cross multiply
    372,469.50x = 576,621 × 576,621
  4. Step 4: Simplify right side
    372,469.50x = 332,491,777,641
  5. Step 5: Solve for x
    x = 332,491,777,641/372,469.50
  6. Step 6: Final answer
    x = 892,668.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.