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Finding the Third Proportional to 311,859 and 739,972.50

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Solution

The third proportional to 311,859 and 739,972.50 is: 1,755,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,859 : 739,972.50 = 739,972.50 : x
  2. Step 2: Convert to fraction form
    311,859/739,972.50 = 739,972.50/x
  3. Step 3: Cross multiply
    311,859x = 739,972.50 × 739,972.50
  4. Step 4: Simplify right side
    311,859x = 547,559,300,756.25
  5. Step 5: Solve for x
    x = 547,559,300,756.25/311,859
  6. Step 6: Final answer
    x = 1,755,791.24

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.