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Finding the Third Proportional to 369,538 and 796,006

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Solution

The third proportional to 369,538 and 796,006 is: 1,714,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,538 : 796,006 = 796,006 : x
  2. Step 2: Convert to fraction form
    369,538/796,006 = 796,006/x
  3. Step 3: Cross multiply
    369,538x = 796,006 × 796,006
  4. Step 4: Simplify right side
    369,538x = 633,625,552,036
  5. Step 5: Solve for x
    x = 633,625,552,036/369,538
  6. Step 6: Final answer
    x = 1,714,642.48

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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.