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Finding the Third Proportional to 383,514 and 580,635

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Solution

The third proportional to 383,514 and 580,635 is: 879,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,514 : 580,635 = 580,635 : x
  2. Step 2: Convert to fraction form
    383,514/580,635 = 580,635/x
  3. Step 3: Cross multiply
    383,514x = 580,635 × 580,635
  4. Step 4: Simplify right side
    383,514x = 337,137,003,225
  5. Step 5: Solve for x
    x = 337,137,003,225/383,514
  6. Step 6: Final answer
    x = 879,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.