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Finding the Third Proportional to 276,930 and 595,980

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Solution

The third proportional to 276,930 and 595,980 is: 1,282,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,930 : 595,980 = 595,980 : x
  2. Step 2: Convert to fraction form
    276,930/595,980 = 595,980/x
  3. Step 3: Cross multiply
    276,930x = 595,980 × 595,980
  4. Step 4: Simplify right side
    276,930x = 355,192,160,400
  5. Step 5: Solve for x
    x = 355,192,160,400/276,930
  6. Step 6: Final answer
    x = 1,282,606.29

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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.