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Finding the Third Proportional to 383,634 and 580,782

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Solution

The third proportional to 383,634 and 580,782 is: 879,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,634 : 580,782 = 580,782 : x
  2. Step 2: Convert to fraction form
    383,634/580,782 = 580,782/x
  3. Step 3: Cross multiply
    383,634x = 580,782 × 580,782
  4. Step 4: Simplify right side
    383,634x = 337,307,731,524
  5. Step 5: Solve for x
    x = 337,307,731,524/383,634
  6. Step 6: Final answer
    x = 879,243.58

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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.