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Finding the Third Proportional to 247,016 and 538,212

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Solution

The third proportional to 247,016 and 538,212 is: 1,172,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,016 : 538,212 = 538,212 : x
  2. Step 2: Convert to fraction form
    247,016/538,212 = 538,212/x
  3. Step 3: Cross multiply
    247,016x = 538,212 × 538,212
  4. Step 4: Simplify right side
    247,016x = 289,672,156,944
  5. Step 5: Solve for x
    x = 289,672,156,944/247,016
  6. Step 6: Final answer
    x = 1,172,685.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.