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Finding the Third Proportional to 276,868 and 606,152

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Solution

The third proportional to 276,868 and 606,152 is: 1,327,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,868 : 606,152 = 606,152 : x
  2. Step 2: Convert to fraction form
    276,868/606,152 = 606,152/x
  3. Step 3: Cross multiply
    276,868x = 606,152 × 606,152
  4. Step 4: Simplify right side
    276,868x = 367,420,247,104
  5. Step 5: Solve for x
    x = 367,420,247,104/276,868
  6. Step 6: Final answer
    x = 1,327,059.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.