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Finding the Third Proportional to 273,269 and 576,245

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Solution

The third proportional to 273,269 and 576,245 is: 1,215,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,269 : 576,245 = 576,245 : x
  2. Step 2: Convert to fraction form
    273,269/576,245 = 576,245/x
  3. Step 3: Cross multiply
    273,269x = 576,245 × 576,245
  4. Step 4: Simplify right side
    273,269x = 332,058,300,025
  5. Step 5: Solve for x
    x = 332,058,300,025/273,269
  6. Step 6: Final answer
    x = 1,215,133.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.