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Finding the Third Proportional to 321,194 and 691,720

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Solution

The third proportional to 321,194 and 691,720 is: 1,489,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,194 : 691,720 = 691,720 : x
  2. Step 2: Convert to fraction form
    321,194/691,720 = 691,720/x
  3. Step 3: Cross multiply
    321,194x = 691,720 × 691,720
  4. Step 4: Simplify right side
    321,194x = 478,476,558,400
  5. Step 5: Solve for x
    x = 478,476,558,400/321,194
  6. Step 6: Final answer
    x = 1,489,680.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.