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Finding the Third Proportional to 270,474 and 384,451

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Solution

The third proportional to 270,474 and 384,451 is: 546,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474 : 384,451 = 384,451 : x
  2. Step 2: Convert to fraction form
    270,474/384,451 = 384,451/x
  3. Step 3: Cross multiply
    270,474x = 384,451 × 384,451
  4. Step 4: Simplify right side
    270,474x = 147,802,571,401
  5. Step 5: Solve for x
    x = 147,802,571,401/270,474
  6. Step 6: Final answer
    x = 546,457.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.