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Finding the Third Proportional to 300,975 and 626,861

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Solution

The third proportional to 300,975 and 626,861 is: 1,305,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,975 : 626,861 = 626,861 : x
  2. Step 2: Convert to fraction form
    300,975/626,861 = 626,861/x
  3. Step 3: Cross multiply
    300,975x = 626,861 × 626,861
  4. Step 4: Simplify right side
    300,975x = 392,954,713,321
  5. Step 5: Solve for x
    x = 392,954,713,321/300,975
  6. Step 6: Final answer
    x = 1,305,605.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.