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Finding the Third Proportional to 276,311.25 and 594,641.25

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Solution

The third proportional to 276,311.25 and 594,641.25 is: 1,279,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,311.25 : 594,641.25 = 594,641.25 : x
  2. Step 2: Convert to fraction form
    276,311.25/594,641.25 = 594,641.25/x
  3. Step 3: Cross multiply
    276,311.25x = 594,641.25 × 594,641.25
  4. Step 4: Simplify right side
    276,311.25x = 353,598,216,201.56
  5. Step 5: Solve for x
    x = 353,598,216,201.56/276,311.25
  6. Step 6: Final answer
    x = 1,279,709.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.