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Finding the Third Proportional to 515,997 and 797,000

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Solution

The third proportional to 515,997 and 797,000 is: 1,231,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,997 : 797,000 = 797,000 : x
  2. Step 2: Convert to fraction form
    515,997/797,000 = 797,000/x
  3. Step 3: Cross multiply
    515,997x = 797,000 × 797,000
  4. Step 4: Simplify right side
    515,997x = 635,209,000,000
  5. Step 5: Solve for x
    x = 635,209,000,000/515,997
  6. Step 6: Final answer
    x = 1,231,032.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.