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Finding the Third Proportional to 393,772 and 605,994

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Solution

The third proportional to 393,772 and 605,994 is: 932,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,772 : 605,994 = 605,994 : x
  2. Step 2: Convert to fraction form
    393,772/605,994 = 605,994/x
  3. Step 3: Cross multiply
    393,772x = 605,994 × 605,994
  4. Step 4: Simplify right side
    393,772x = 367,228,728,036
  5. Step 5: Solve for x
    x = 367,228,728,036/393,772
  6. Step 6: Final answer
    x = 932,592.28

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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.