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Finding the Third Proportional to 270,694.50 and 378,435.75

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Solution

The third proportional to 270,694.50 and 378,435.75 is: 529,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,694.50 : 378,435.75 = 378,435.75 : x
  2. Step 2: Convert to fraction form
    270,694.50/378,435.75 = 378,435.75/x
  3. Step 3: Cross multiply
    270,694.50x = 378,435.75 × 378,435.75
  4. Step 4: Simplify right side
    270,694.50x = 143,213,616,878.06
  5. Step 5: Solve for x
    x = 143,213,616,878.06/270,694.50
  6. Step 6: Final answer
    x = 529,059.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.