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Finding the Third Proportional to 239,176 and 512,696

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Solution

The third proportional to 239,176 and 512,696 is: 1,099,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,176 : 512,696 = 512,696 : x
  2. Step 2: Convert to fraction form
    239,176/512,696 = 512,696/x
  3. Step 3: Cross multiply
    239,176x = 512,696 × 512,696
  4. Step 4: Simplify right side
    239,176x = 262,857,188,416
  5. Step 5: Solve for x
    x = 262,857,188,416/239,176
  6. Step 6: Final answer
    x = 1,099,011.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.