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Finding the Third Proportional to 370,368 and 796,941

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Solution

The third proportional to 370,368 and 796,941 is: 1,714,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,368 : 796,941 = 796,941 : x
  2. Step 2: Convert to fraction form
    370,368/796,941 = 796,941/x
  3. Step 3: Cross multiply
    370,368x = 796,941 × 796,941
  4. Step 4: Simplify right side
    370,368x = 635,114,957,481
  5. Step 5: Solve for x
    x = 635,114,957,481/370,368
  6. Step 6: Final answer
    x = 1,714,821.36

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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.