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Finding the Third Proportional to 276,049 and 594,333

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Solution

The third proportional to 276,049 and 594,333 is: 1,279,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,049 : 594,333 = 594,333 : x
  2. Step 2: Convert to fraction form
    276,049/594,333 = 594,333/x
  3. Step 3: Cross multiply
    276,049x = 594,333 × 594,333
  4. Step 4: Simplify right side
    276,049x = 353,231,714,889
  5. Step 5: Solve for x
    x = 353,231,714,889/276,049
  6. Step 6: Final answer
    x = 1,279,597.88

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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.