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Finding the Third Proportional to 365,997 and 793,086

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Solution

The third proportional to 365,997 and 793,086 is: 1,718,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,997 : 793,086 = 793,086 : x
  2. Step 2: Convert to fraction form
    365,997/793,086 = 793,086/x
  3. Step 3: Cross multiply
    365,997x = 793,086 × 793,086
  4. Step 4: Simplify right side
    365,997x = 628,985,403,396
  5. Step 5: Solve for x
    x = 628,985,403,396/365,997
  6. Step 6: Final answer
    x = 1,718,553.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.