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Finding the Third Proportional to 247,620 and 372,021

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Solution

The third proportional to 247,620 and 372,021 is: 558,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,620 : 372,021 = 372,021 : x
  2. Step 2: Convert to fraction form
    247,620/372,021 = 372,021/x
  3. Step 3: Cross multiply
    247,620x = 372,021 × 372,021
  4. Step 4: Simplify right side
    247,620x = 138,399,624,441
  5. Step 5: Solve for x
    x = 138,399,624,441/247,620
  6. Step 6: Final answer
    x = 558,919.41

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