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Finding the Third Proportional to 235,615 and 523,474

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Solution

The third proportional to 235,615 and 523,474 is: 1,163,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,615 : 523,474 = 523,474 : x
  2. Step 2: Convert to fraction form
    235,615/523,474 = 523,474/x
  3. Step 3: Cross multiply
    235,615x = 523,474 × 523,474
  4. Step 4: Simplify right side
    235,615x = 274,025,028,676
  5. Step 5: Solve for x
    x = 274,025,028,676/235,615
  6. Step 6: Final answer
    x = 1,163,020.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.