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Finding the Third Proportional to 381,178.50 and 590,221.50

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Solution

The third proportional to 381,178.50 and 590,221.50 is: 913,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,178.50 : 590,221.50 = 590,221.50 : x
  2. Step 2: Convert to fraction form
    381,178.50/590,221.50 = 590,221.50/x
  3. Step 3: Cross multiply
    381,178.50x = 590,221.50 × 590,221.50
  4. Step 4: Simplify right side
    381,178.50x = 348,361,419,062.25
  5. Step 5: Solve for x
    x = 348,361,419,062.25/381,178.50
  6. Step 6: Final answer
    x = 913,906.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.