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Finding the Third Proportional to 381,275 and 821,644.50

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Solution

The third proportional to 381,275 and 821,644.50 is: 1,770,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,275 : 821,644.50 = 821,644.50 : x
  2. Step 2: Convert to fraction form
    381,275/821,644.50 = 821,644.50/x
  3. Step 3: Cross multiply
    381,275x = 821,644.50 × 821,644.50
  4. Step 4: Simplify right side
    381,275x = 675,099,684,380.25
  5. Step 5: Solve for x
    x = 675,099,684,380.25/381,275
  6. Step 6: Final answer
    x = 1,770,637.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.