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Finding the Third Proportional to 253,298 and 548,761

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Solution

The third proportional to 253,298 and 548,761 is: 1,188,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,298 : 548,761 = 548,761 : x
  2. Step 2: Convert to fraction form
    253,298/548,761 = 548,761/x
  3. Step 3: Cross multiply
    253,298x = 548,761 × 548,761
  4. Step 4: Simplify right side
    253,298x = 301,138,635,121
  5. Step 5: Solve for x
    x = 301,138,635,121/253,298
  6. Step 6: Final answer
    x = 1,188,870.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.