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Finding the Third Proportional to 361,032 and 782,266

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Solution

The third proportional to 361,032 and 782,266 is: 1,694,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,032 : 782,266 = 782,266 : x
  2. Step 2: Convert to fraction form
    361,032/782,266 = 782,266/x
  3. Step 3: Cross multiply
    361,032x = 782,266 × 782,266
  4. Step 4: Simplify right side
    361,032x = 611,940,094,756
  5. Step 5: Solve for x
    x = 611,940,094,756/361,032
  6. Step 6: Final answer
    x = 1,694,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.