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Finding the Third Proportional to 369,956 and 796,059

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Solution

The third proportional to 369,956 and 796,059 is: 1,712,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,956 : 796,059 = 796,059 : x
  2. Step 2: Convert to fraction form
    369,956/796,059 = 796,059/x
  3. Step 3: Cross multiply
    369,956x = 796,059 × 796,059
  4. Step 4: Simplify right side
    369,956x = 633,709,931,481
  5. Step 5: Solve for x
    x = 633,709,931,481/369,956
  6. Step 6: Final answer
    x = 1,712,933.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.