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Finding the Third Proportional to 247,622 and 534,652

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Solution

The third proportional to 247,622 and 534,652 is: 1,154,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,622 : 534,652 = 534,652 : x
  2. Step 2: Convert to fraction form
    247,622/534,652 = 534,652/x
  3. Step 3: Cross multiply
    247,622x = 534,652 × 534,652
  4. Step 4: Simplify right side
    247,622x = 285,852,761,104
  5. Step 5: Solve for x
    x = 285,852,761,104/247,622
  6. Step 6: Final answer
    x = 1,154,391.62

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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.