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Finding the Third Proportional to 247,624 and 372,027

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Solution

The third proportional to 247,624 and 372,027 is: 558,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,624 : 372,027 = 372,027 : x
  2. Step 2: Convert to fraction form
    247,624/372,027 = 372,027/x
  3. Step 3: Cross multiply
    247,624x = 372,027 × 372,027
  4. Step 4: Simplify right side
    247,624x = 138,404,088,729
  5. Step 5: Solve for x
    x = 138,404,088,729/247,624
  6. Step 6: Final answer
    x = 558,928.41

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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.