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Finding the Third Proportional to 368,353 and 793,384

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Solution

The third proportional to 368,353 and 793,384 is: 1,708,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,353 : 793,384 = 793,384 : x
  2. Step 2: Convert to fraction form
    368,353/793,384 = 793,384/x
  3. Step 3: Cross multiply
    368,353x = 793,384 × 793,384
  4. Step 4: Simplify right side
    368,353x = 629,458,171,456
  5. Step 5: Solve for x
    x = 629,458,171,456/368,353
  6. Step 6: Final answer
    x = 1,708,844.97

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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.