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Finding the Third Proportional to 276,930 and 596,299.50

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Solution

The third proportional to 276,930 and 596,299.50 is: 1,283,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,930 : 596,299.50 = 596,299.50 : x
  2. Step 2: Convert to fraction form
    276,930/596,299.50 = 596,299.50/x
  3. Step 3: Cross multiply
    276,930x = 596,299.50 × 596,299.50
  4. Step 4: Simplify right side
    276,930x = 355,573,093,700.25
  5. Step 5: Solve for x
    x = 355,573,093,700.25/276,930
  6. Step 6: Final answer
    x = 1,283,981.85

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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.