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Finding the Third Proportional to 370,380 and 796,965

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Solution

The third proportional to 370,380 and 796,965 is: 1,714,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,380 : 796,965 = 796,965 : x
  2. Step 2: Convert to fraction form
    370,380/796,965 = 796,965/x
  3. Step 3: Cross multiply
    370,380x = 796,965 × 796,965
  4. Step 4: Simplify right side
    370,380x = 635,153,211,225
  5. Step 5: Solve for x
    x = 635,153,211,225/370,380
  6. Step 6: Final answer
    x = 1,714,869.08

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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.