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Finding the Third Proportional to 322,406 and 670,978

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Solution

The third proportional to 322,406 and 670,978 is: 1,396,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406 : 670,978 = 670,978 : x
  2. Step 2: Convert to fraction form
    322,406/670,978 = 670,978/x
  3. Step 3: Cross multiply
    322,406x = 670,978 × 670,978
  4. Step 4: Simplify right side
    322,406x = 450,211,476,484
  5. Step 5: Solve for x
    x = 450,211,476,484/322,406
  6. Step 6: Final answer
    x = 1,396,411.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.