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Finding the Third Proportional to 239,235 and 512,802

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Solution

The third proportional to 239,235 and 512,802 is: 1,099,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,235 : 512,802 = 512,802 : x
  2. Step 2: Convert to fraction form
    239,235/512,802 = 512,802/x
  3. Step 3: Cross multiply
    239,235x = 512,802 × 512,802
  4. Step 4: Simplify right side
    239,235x = 262,965,891,204
  5. Step 5: Solve for x
    x = 262,965,891,204/239,235
  6. Step 6: Final answer
    x = 1,099,194.90

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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.