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Finding the Third Proportional to 370,910 and 800,950

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Solution

The third proportional to 370,910 and 800,950 is: 1,729,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,910 : 800,950 = 800,950 : x
  2. Step 2: Convert to fraction form
    370,910/800,950 = 800,950/x
  3. Step 3: Cross multiply
    370,910x = 800,950 × 800,950
  4. Step 4: Simplify right side
    370,910x = 641,520,902,500
  5. Step 5: Solve for x
    x = 641,520,902,500/370,910
  6. Step 6: Final answer
    x = 1,729,586.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.