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Finding the Third Proportional to 322,296 and 683,011

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Solution

The third proportional to 322,296 and 683,011 is: 1,447,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,296 : 683,011 = 683,011 : x
  2. Step 2: Convert to fraction form
    322,296/683,011 = 683,011/x
  3. Step 3: Cross multiply
    322,296x = 683,011 × 683,011
  4. Step 4: Simplify right side
    322,296x = 466,504,026,121
  5. Step 5: Solve for x
    x = 466,504,026,121/322,296
  6. Step 6: Final answer
    x = 1,447,439.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.