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Finding the Third Proportional to 276,864 and 606,144

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Solution

The third proportional to 276,864 and 606,144 is: 1,327,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,864 : 606,144 = 606,144 : x
  2. Step 2: Convert to fraction form
    276,864/606,144 = 606,144/x
  3. Step 3: Cross multiply
    276,864x = 606,144 × 606,144
  4. Step 4: Simplify right side
    276,864x = 367,410,548,736
  5. Step 5: Solve for x
    x = 367,410,548,736/276,864
  6. Step 6: Final answer
    x = 1,327,043.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.