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Finding the Third Proportional to 560,446 and 892,211

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Solution

The third proportional to 560,446 and 892,211 is: 1,420,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,446 : 892,211 = 892,211 : x
  2. Step 2: Convert to fraction form
    560,446/892,211 = 892,211/x
  3. Step 3: Cross multiply
    560,446x = 892,211 × 892,211
  4. Step 4: Simplify right side
    560,446x = 796,040,468,521
  5. Step 5: Solve for x
    x = 796,040,468,521/560,446
  6. Step 6: Final answer
    x = 1,420,369.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.