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Finding the Third Proportional to 381,919.50 and 573,835.50

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Solution

The third proportional to 381,919.50 and 573,835.50 is: 862,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,919.50 : 573,835.50 = 573,835.50 : x
  2. Step 2: Convert to fraction form
    381,919.50/573,835.50 = 573,835.50/x
  3. Step 3: Cross multiply
    381,919.50x = 573,835.50 × 573,835.50
  4. Step 4: Simplify right side
    381,919.50x = 329,287,181,060.25
  5. Step 5: Solve for x
    x = 329,287,181,060.25/381,919.50
  6. Step 6: Final answer
    x = 862,190.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.