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Finding the Third Proportional to 370,062 and 796,266

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Solution

The third proportional to 370,062 and 796,266 is: 1,713,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,062 : 796,266 = 796,266 : x
  2. Step 2: Convert to fraction form
    370,062/796,266 = 796,266/x
  3. Step 3: Cross multiply
    370,062x = 796,266 × 796,266
  4. Step 4: Simplify right side
    370,062x = 634,039,542,756
  5. Step 5: Solve for x
    x = 634,039,542,756/370,062
  6. Step 6: Final answer
    x = 1,713,333.29

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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.