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Finding the Third Proportional to 247,236 and 533,892

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Solution

The third proportional to 247,236 and 533,892 is: 1,152,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,236 : 533,892 = 533,892 : x
  2. Step 2: Convert to fraction form
    247,236/533,892 = 533,892/x
  3. Step 3: Cross multiply
    247,236x = 533,892 × 533,892
  4. Step 4: Simplify right side
    247,236x = 285,040,667,664
  5. Step 5: Solve for x
    x = 285,040,667,664/247,236
  6. Step 6: Final answer
    x = 1,152,909.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.