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Finding the Third Proportional to 276,055 and 594,345

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Solution

The third proportional to 276,055 and 594,345 is: 1,279,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,055 : 594,345 = 594,345 : x
  2. Step 2: Convert to fraction form
    276,055/594,345 = 594,345/x
  3. Step 3: Cross multiply
    276,055x = 594,345 × 594,345
  4. Step 4: Simplify right side
    276,055x = 353,245,979,025
  5. Step 5: Solve for x
    x = 353,245,979,025/276,055
  6. Step 6: Final answer
    x = 1,279,621.74

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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.