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Finding the Third Proportional to 276,399 and 601,965

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Solution

The third proportional to 276,399 and 601,965 is: 1,311,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,399 : 601,965 = 601,965 : x
  2. Step 2: Convert to fraction form
    276,399/601,965 = 601,965/x
  3. Step 3: Cross multiply
    276,399x = 601,965 × 601,965
  4. Step 4: Simplify right side
    276,399x = 362,361,861,225
  5. Step 5: Solve for x
    x = 362,361,861,225/276,399
  6. Step 6: Final answer
    x = 1,311,010.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.