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Finding the Third Proportional to 366,379 and 797,274

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Solution

The third proportional to 366,379 and 797,274 is: 1,734,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,379 : 797,274 = 797,274 : x
  2. Step 2: Convert to fraction form
    366,379/797,274 = 797,274/x
  3. Step 3: Cross multiply
    366,379x = 797,274 × 797,274
  4. Step 4: Simplify right side
    366,379x = 635,645,831,076
  5. Step 5: Solve for x
    x = 635,645,831,076/366,379
  6. Step 6: Final answer
    x = 1,734,940.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.