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Finding the Third Proportional to 300,441 and 422,595

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Solution

The third proportional to 300,441 and 422,595 is: 594,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,441 : 422,595 = 422,595 : x
  2. Step 2: Convert to fraction form
    300,441/422,595 = 422,595/x
  3. Step 3: Cross multiply
    300,441x = 422,595 × 422,595
  4. Step 4: Simplify right side
    300,441x = 178,586,534,025
  5. Step 5: Solve for x
    x = 178,586,534,025/300,441
  6. Step 6: Final answer
    x = 594,414.66

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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.