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Finding the Third Proportional to 276,826.36 and 596,863.05

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Solution

The third proportional to 276,826.36 and 596,863.05 is: 1,286,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,826.36 : 596,863.05 = 596,863.05 : x
  2. Step 2: Convert to fraction form
    276,826.36/596,863.05 = 596,863.05/x
  3. Step 3: Cross multiply
    276,826.36x = 596,863.05 × 596,863.05
  4. Step 4: Simplify right side
    276,826.36x = 356,245,506,050.89
  5. Step 5: Solve for x
    x = 356,245,506,050.89/276,826.36
  6. Step 6: Final answer
    x = 1,286,891.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.