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Finding the Third Proportional to 247,224 and 529,439

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Solution

The third proportional to 247,224 and 529,439 is: 1,133,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,224 : 529,439 = 529,439 : x
  2. Step 2: Convert to fraction form
    247,224/529,439 = 529,439/x
  3. Step 3: Cross multiply
    247,224x = 529,439 × 529,439
  4. Step 4: Simplify right side
    247,224x = 280,305,654,721
  5. Step 5: Solve for x
    x = 280,305,654,721/247,224
  6. Step 6: Final answer
    x = 1,133,812.47

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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.