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Finding the Third Proportional to 273,591 and 409,293

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Solution

The third proportional to 273,591 and 409,293 is: 612,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,591 : 409,293 = 409,293 : x
  2. Step 2: Convert to fraction form
    273,591/409,293 = 409,293/x
  3. Step 3: Cross multiply
    273,591x = 409,293 × 409,293
  4. Step 4: Simplify right side
    273,591x = 167,520,759,849
  5. Step 5: Solve for x
    x = 167,520,759,849/273,591
  6. Step 6: Final answer
    x = 612,303.62

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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.