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Finding the Third Proportional to 276,025.50 and 415,419.75

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Solution

The third proportional to 276,025.50 and 415,419.75 is: 625,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,025.50 : 415,419.75 = 415,419.75 : x
  2. Step 2: Convert to fraction form
    276,025.50/415,419.75 = 415,419.75/x
  3. Step 3: Cross multiply
    276,025.50x = 415,419.75 × 415,419.75
  4. Step 4: Simplify right side
    276,025.50x = 172,573,568,690.06
  5. Step 5: Solve for x
    x = 172,573,568,690.06/276,025.50
  6. Step 6: Final answer
    x = 625,208.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.