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Finding the Third Proportional to 276,078 and 569,796

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Solution

The third proportional to 276,078 and 569,796 is: 1,175,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078 : 569,796 = 569,796 : x
  2. Step 2: Convert to fraction form
    276,078/569,796 = 569,796/x
  3. Step 3: Cross multiply
    276,078x = 569,796 × 569,796
  4. Step 4: Simplify right side
    276,078x = 324,667,481,616
  5. Step 5: Solve for x
    x = 324,667,481,616/276,078
  6. Step 6: Final answer
    x = 1,175,999.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.