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Finding the Third Proportional to 270,249.75 and 423,933.75

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Solution

The third proportional to 270,249.75 and 423,933.75 is: 665,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,249.75 : 423,933.75 = 423,933.75 : x
  2. Step 2: Convert to fraction form
    270,249.75/423,933.75 = 423,933.75/x
  3. Step 3: Cross multiply
    270,249.75x = 423,933.75 × 423,933.75
  4. Step 4: Simplify right side
    270,249.75x = 179,719,824,389.06
  5. Step 5: Solve for x
    x = 179,719,824,389.06/270,249.75
  6. Step 6: Final answer
    x = 665,013.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.