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Finding the Third Proportional to 273,568 and 409,260

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Solution

The third proportional to 273,568 and 409,260 is: 612,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,568 : 409,260 = 409,260 : x
  2. Step 2: Convert to fraction form
    273,568/409,260 = 409,260/x
  3. Step 3: Cross multiply
    273,568x = 409,260 × 409,260
  4. Step 4: Simplify right side
    273,568x = 167,493,747,600
  5. Step 5: Solve for x
    x = 167,493,747,600/273,568
  6. Step 6: Final answer
    x = 612,256.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.