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Finding the Third Proportional to 279,450 and 395,037

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Solution

The third proportional to 279,450 and 395,037 is: 558,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,450 : 395,037 = 395,037 : x
  2. Step 2: Convert to fraction form
    279,450/395,037 = 395,037/x
  3. Step 3: Cross multiply
    279,450x = 395,037 × 395,037
  4. Step 4: Simplify right side
    279,450x = 156,054,231,369
  5. Step 5: Solve for x
    x = 156,054,231,369/279,450
  6. Step 6: Final answer
    x = 558,433.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.