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Finding the Third Proportional to 311,027 and 422,037

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Solution

The third proportional to 311,027 and 422,037 is: 572,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,027 : 422,037 = 422,037 : x
  2. Step 2: Convert to fraction form
    311,027/422,037 = 422,037/x
  3. Step 3: Cross multiply
    311,027x = 422,037 × 422,037
  4. Step 4: Simplify right side
    311,027x = 178,115,229,369
  5. Step 5: Solve for x
    x = 178,115,229,369/311,027
  6. Step 6: Final answer
    x = 572,668.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.