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Finding the Third Proportional to 370,296 and 796,680

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Solution

The third proportional to 370,296 and 796,680 is: 1,714,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,296 : 796,680 = 796,680 : x
  2. Step 2: Convert to fraction form
    370,296/796,680 = 796,680/x
  3. Step 3: Cross multiply
    370,296x = 796,680 × 796,680
  4. Step 4: Simplify right side
    370,296x = 634,699,022,400
  5. Step 5: Solve for x
    x = 634,699,022,400/370,296
  6. Step 6: Final answer
    x = 1,714,031.54

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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.