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Finding the Third Proportional to 247,204 and 529,400

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Solution

The third proportional to 247,204 and 529,400 is: 1,133,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,204 : 529,400 = 529,400 : x
  2. Step 2: Convert to fraction form
    247,204/529,400 = 529,400/x
  3. Step 3: Cross multiply
    247,204x = 529,400 × 529,400
  4. Step 4: Simplify right side
    247,204x = 280,264,360,000
  5. Step 5: Solve for x
    x = 280,264,360,000/247,204
  6. Step 6: Final answer
    x = 1,133,737.16

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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.