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Finding the Third Proportional to 239,234 and 512,800

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Solution

The third proportional to 239,234 and 512,800 is: 1,099,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,234 : 512,800 = 512,800 : x
  2. Step 2: Convert to fraction form
    239,234/512,800 = 512,800/x
  3. Step 3: Cross multiply
    239,234x = 512,800 × 512,800
  4. Step 4: Simplify right side
    239,234x = 262,963,840,000
  5. Step 5: Solve for x
    x = 262,963,840,000/239,234
  6. Step 6: Final answer
    x = 1,099,190.92

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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.