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Finding the Third Proportional to 239,704 and 376,002

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Solution

The third proportional to 239,704 and 376,002 is: 589,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 376,002 = 376,002 : x
  2. Step 2: Convert to fraction form
    239,704/376,002 = 376,002/x
  3. Step 3: Cross multiply
    239,704x = 376,002 × 376,002
  4. Step 4: Simplify right side
    239,704x = 141,377,504,004
  5. Step 5: Solve for x
    x = 141,377,504,004/239,704
  6. Step 6: Final answer
    x = 589,800.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.