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Finding the Third Proportional to 322,435.69 and 683,270.44

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Solution

The third proportional to 322,435.69 and 683,270.44 is: 1,447,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,435.69 : 683,270.44 = 683,270.44 : x
  2. Step 2: Convert to fraction form
    322,435.69/683,270.44 = 683,270.44/x
  3. Step 3: Cross multiply
    322,435.69x = 683,270.44 × 683,270.44
  4. Step 4: Simplify right side
    322,435.69x = 466,858,490,761.44
  5. Step 5: Solve for x
    x = 466,858,490,761.44/322,435.69
  6. Step 6: Final answer
    x = 1,447,911.97

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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.