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Finding the Third Proportional to 276,027.75 and 415,411.88

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Solution

The third proportional to 276,027.75 and 415,411.88 is: 625,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,027.75 : 415,411.88 = 415,411.88 : x
  2. Step 2: Convert to fraction form
    276,027.75/415,411.88 = 415,411.88/x
  3. Step 3: Cross multiply
    276,027.75x = 415,411.88 × 415,411.88
  4. Step 4: Simplify right side
    276,027.75x = 172,567,025,891.02
  5. Step 5: Solve for x
    x = 172,567,025,891.02/276,027.75
  6. Step 6: Final answer
    x = 625,179.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.