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Finding the Third Proportional to 273,006 and 413,325

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Solution

The third proportional to 273,006 and 413,325 is: 625,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,006 : 413,325 = 413,325 : x
  2. Step 2: Convert to fraction form
    273,006/413,325 = 413,325/x
  3. Step 3: Cross multiply
    273,006x = 413,325 × 413,325
  4. Step 4: Simplify right side
    273,006x = 170,837,555,625
  5. Step 5: Solve for x
    x = 170,837,555,625/273,006
  6. Step 6: Final answer
    x = 625,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.