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Finding the Third Proportional to 344,976 and 548,568

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Solution

The third proportional to 344,976 and 548,568 is: 872,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,976 : 548,568 = 548,568 : x
  2. Step 2: Convert to fraction form
    344,976/548,568 = 548,568/x
  3. Step 3: Cross multiply
    344,976x = 548,568 × 548,568
  4. Step 4: Simplify right side
    344,976x = 300,926,850,624
  5. Step 5: Solve for x
    x = 300,926,850,624/344,976
  6. Step 6: Final answer
    x = 872,312.42

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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.