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Finding the Third Proportional to 273,690 and 409,434

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Solution

The third proportional to 273,690 and 409,434 is: 612,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,690 : 409,434 = 409,434 : x
  2. Step 2: Convert to fraction form
    273,690/409,434 = 409,434/x
  3. Step 3: Cross multiply
    273,690x = 409,434 × 409,434
  4. Step 4: Simplify right side
    273,690x = 167,636,200,356
  5. Step 5: Solve for x
    x = 167,636,200,356/273,690
  6. Step 6: Final answer
    x = 612,503.93

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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.