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Finding the Third Proportional to 283,176 and 629,286

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Solution

The third proportional to 283,176 and 629,286 is: 1,398,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,176 : 629,286 = 629,286 : x
  2. Step 2: Convert to fraction form
    283,176/629,286 = 629,286/x
  3. Step 3: Cross multiply
    283,176x = 629,286 × 629,286
  4. Step 4: Simplify right side
    283,176x = 396,000,869,796
  5. Step 5: Solve for x
    x = 396,000,869,796/283,176
  6. Step 6: Final answer
    x = 1,398,426.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.