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Finding the Third Proportional to 560,455 and 892,227

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Solution

The third proportional to 560,455 and 892,227 is: 1,420,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,455 : 892,227 = 892,227 : x
  2. Step 2: Convert to fraction form
    560,455/892,227 = 892,227/x
  3. Step 3: Cross multiply
    560,455x = 892,227 × 892,227
  4. Step 4: Simplify right side
    560,455x = 796,069,019,529
  5. Step 5: Solve for x
    x = 796,069,019,529/560,455
  6. Step 6: Final answer
    x = 1,420,397.75

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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.