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Finding the Third Proportional to 393,770 and 605,991

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Solution

The third proportional to 393,770 and 605,991 is: 932,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,770 : 605,991 = 605,991 : x
  2. Step 2: Convert to fraction form
    393,770/605,991 = 605,991/x
  3. Step 3: Cross multiply
    393,770x = 605,991 × 605,991
  4. Step 4: Simplify right side
    393,770x = 367,225,092,081
  5. Step 5: Solve for x
    x = 367,225,092,081/393,770
  6. Step 6: Final answer
    x = 932,587.78

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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.