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Finding the Third Proportional to 362,114 and 796,420

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Solution

The third proportional to 362,114 and 796,420 is: 1,751,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,114 : 796,420 = 796,420 : x
  2. Step 2: Convert to fraction form
    362,114/796,420 = 796,420/x
  3. Step 3: Cross multiply
    362,114x = 796,420 × 796,420
  4. Step 4: Simplify right side
    362,114x = 634,284,816,400
  5. Step 5: Solve for x
    x = 634,284,816,400/362,114
  6. Step 6: Final answer
    x = 1,751,616.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.