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Finding the Third Proportional to 344,978 and 548,571

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Solution

The third proportional to 344,978 and 548,571 is: 872,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,978 : 548,571 = 548,571 : x
  2. Step 2: Convert to fraction form
    344,978/548,571 = 548,571/x
  3. Step 3: Cross multiply
    344,978x = 548,571 × 548,571
  4. Step 4: Simplify right side
    344,978x = 300,930,142,041
  5. Step 5: Solve for x
    x = 300,930,142,041/344,978
  6. Step 6: Final answer
    x = 872,316.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.