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Finding the Third Proportional to 270,956.81 and 421,944.19

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Solution

The third proportional to 270,956.81 and 421,944.19 is: 657,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,956.81 : 421,944.19 = 421,944.19 : x
  2. Step 2: Convert to fraction form
    270,956.81/421,944.19 = 421,944.19/x
  3. Step 3: Cross multiply
    270,956.81x = 421,944.19 × 421,944.19
  4. Step 4: Simplify right side
    270,956.81x = 178,036,897,365.04
  5. Step 5: Solve for x
    x = 178,036,897,365.04/270,956.81
  6. Step 6: Final answer
    x = 657,067.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.