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Finding the Third Proportional to 325,174.50 and 500,440.50

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Solution

The third proportional to 325,174.50 and 500,440.50 is: 770,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,174.50 : 500,440.50 = 500,440.50 : x
  2. Step 2: Convert to fraction form
    325,174.50/500,440.50 = 500,440.50/x
  3. Step 3: Cross multiply
    325,174.50x = 500,440.50 × 500,440.50
  4. Step 4: Simplify right side
    325,174.50x = 250,440,694,040.25
  5. Step 5: Solve for x
    x = 250,440,694,040.25/325,174.50
  6. Step 6: Final answer
    x = 770,173.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.