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Finding the Third Proportional to 393,774 and 605,997

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Solution

The third proportional to 393,774 and 605,997 is: 932,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,774 : 605,997 = 605,997 : x
  2. Step 2: Convert to fraction form
    393,774/605,997 = 605,997/x
  3. Step 3: Cross multiply
    393,774x = 605,997 × 605,997
  4. Step 4: Simplify right side
    393,774x = 367,232,364,009
  5. Step 5: Solve for x
    x = 367,232,364,009/393,774
  6. Step 6: Final answer
    x = 932,596.78

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Why These Related Problems?

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