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Finding the Third Proportional to 276,520.75 and 420,553.75

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Solution

The third proportional to 276,520.75 and 420,553.75 is: 639,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,520.75 : 420,553.75 = 420,553.75 : x
  2. Step 2: Convert to fraction form
    276,520.75/420,553.75 = 420,553.75/x
  3. Step 3: Cross multiply
    276,520.75x = 420,553.75 × 420,553.75
  4. Step 4: Simplify right side
    276,520.75x = 176,865,456,639.06
  5. Step 5: Solve for x
    x = 176,865,456,639.06/276,520.75
  6. Step 6: Final answer
    x = 639,610.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.