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Finding the Third Proportional to 283,084 and 667,318

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Solution

The third proportional to 283,084 and 667,318 is: 1,573,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,084 : 667,318 = 667,318 : x
  2. Step 2: Convert to fraction form
    283,084/667,318 = 667,318/x
  3. Step 3: Cross multiply
    283,084x = 667,318 × 667,318
  4. Step 4: Simplify right side
    283,084x = 445,313,313,124
  5. Step 5: Solve for x
    x = 445,313,313,124/283,084
  6. Step 6: Final answer
    x = 1,573,078.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.