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Finding the Third Proportional to 254,589 and 548,526

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Solution

The third proportional to 254,589 and 548,526 is: 1,181,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,589 : 548,526 = 548,526 : x
  2. Step 2: Convert to fraction form
    254,589/548,526 = 548,526/x
  3. Step 3: Cross multiply
    254,589x = 548,526 × 548,526
  4. Step 4: Simplify right side
    254,589x = 300,880,772,676
  5. Step 5: Solve for x
    x = 300,880,772,676/254,589
  6. Step 6: Final answer
    x = 1,181,829.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.