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Finding the Third Proportional to 383,625 and 580,769

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Solution

The third proportional to 383,625 and 580,769 is: 879,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,625 : 580,769 = 580,769 : x
  2. Step 2: Convert to fraction form
    383,625/580,769 = 580,769/x
  3. Step 3: Cross multiply
    383,625x = 580,769 × 580,769
  4. Step 4: Simplify right side
    383,625x = 337,292,631,361
  5. Step 5: Solve for x
    x = 337,292,631,361/383,625
  6. Step 6: Final answer
    x = 879,224.85

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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.