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Finding the Third Proportional to 383,682 and 782,596

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Solution

The third proportional to 383,682 and 782,596 is: 1,596,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,682 : 782,596 = 782,596 : x
  2. Step 2: Convert to fraction form
    383,682/782,596 = 782,596/x
  3. Step 3: Cross multiply
    383,682x = 782,596 × 782,596
  4. Step 4: Simplify right side
    383,682x = 612,456,499,216
  5. Step 5: Solve for x
    x = 612,456,499,216/383,682
  6. Step 6: Final answer
    x = 1,596,260.70

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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.