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Finding the Third Proportional to 270,797.25 and 378,573

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Solution

The third proportional to 270,797.25 and 378,573 is: 529,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,797.25 : 378,573 = 378,573 : x
  2. Step 2: Convert to fraction form
    270,797.25/378,573 = 378,573/x
  3. Step 3: Cross multiply
    270,797.25x = 378,573 × 378,573
  4. Step 4: Simplify right side
    270,797.25x = 143,317,516,329
  5. Step 5: Solve for x
    x = 143,317,516,329/270,797.25
  6. Step 6: Final answer
    x = 529,242.88

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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.