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Finding the Third Proportional to 321,480.75 and 691,349.25

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Solution

The third proportional to 321,480.75 and 691,349.25 is: 1,486,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,480.75 : 691,349.25 = 691,349.25 : x
  2. Step 2: Convert to fraction form
    321,480.75/691,349.25 = 691,349.25/x
  3. Step 3: Cross multiply
    321,480.75x = 691,349.25 × 691,349.25
  4. Step 4: Simplify right side
    321,480.75x = 477,963,785,475.56
  5. Step 5: Solve for x
    x = 477,963,785,475.56/321,480.75
  6. Step 6: Final answer
    x = 1,486,757.09

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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.