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Finding the Third Proportional to 273,792 and 409,574

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Solution

The third proportional to 273,792 and 409,574 is: 612,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,792 : 409,574 = 409,574 : x
  2. Step 2: Convert to fraction form
    273,792/409,574 = 409,574/x
  3. Step 3: Cross multiply
    273,792x = 409,574 × 409,574
  4. Step 4: Simplify right side
    273,792x = 167,750,861,476
  5. Step 5: Solve for x
    x = 167,750,861,476/273,792
  6. Step 6: Final answer
    x = 612,694.53

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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.