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Finding the Third Proportional to 270,737 and 595,474

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Solution

The third proportional to 270,737 and 595,474 is: 1,309,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,737 : 595,474 = 595,474 : x
  2. Step 2: Convert to fraction form
    270,737/595,474 = 595,474/x
  3. Step 3: Cross multiply
    270,737x = 595,474 × 595,474
  4. Step 4: Simplify right side
    270,737x = 354,589,284,676
  5. Step 5: Solve for x
    x = 354,589,284,676/270,737
  6. Step 6: Final answer
    x = 1,309,718.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.