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Finding the Third Proportional to 270,692 and 378,432.75

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Solution

The third proportional to 270,692 and 378,432.75 is: 529,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692 : 378,432.75 = 378,432.75 : x
  2. Step 2: Convert to fraction form
    270,692/378,432.75 = 378,432.75/x
  3. Step 3: Cross multiply
    270,692x = 378,432.75 × 378,432.75
  4. Step 4: Simplify right side
    270,692x = 143,211,346,272.56
  5. Step 5: Solve for x
    x = 143,211,346,272.56/270,692
  6. Step 6: Final answer
    x = 529,056.44

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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.