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Finding the Third Proportional to 300,834 and 641,700

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Solution

The third proportional to 300,834 and 641,700 is: 1,368,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,834 : 641,700 = 641,700 : x
  2. Step 2: Convert to fraction form
    300,834/641,700 = 641,700/x
  3. Step 3: Cross multiply
    300,834x = 641,700 × 641,700
  4. Step 4: Simplify right side
    300,834x = 411,778,890,000
  5. Step 5: Solve for x
    x = 411,778,890,000/300,834
  6. Step 6: Final answer
    x = 1,368,791.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.