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Finding the Third Proportional to 383,676 and 782,584

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Solution

The third proportional to 383,676 and 782,584 is: 1,596,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,676 : 782,584 = 782,584 : x
  2. Step 2: Convert to fraction form
    383,676/782,584 = 782,584/x
  3. Step 3: Cross multiply
    383,676x = 782,584 × 782,584
  4. Step 4: Simplify right side
    383,676x = 612,437,717,056
  5. Step 5: Solve for x
    x = 612,437,717,056/383,676
  6. Step 6: Final answer
    x = 1,596,236.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.