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Finding the Third Proportional to 209,794.50 and 325,444.50

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Solution

The third proportional to 209,794.50 and 325,444.50 is: 504,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.50 : 325,444.50 = 325,444.50 : x
  2. Step 2: Convert to fraction form
    209,794.50/325,444.50 = 325,444.50/x
  3. Step 3: Cross multiply
    209,794.50x = 325,444.50 × 325,444.50
  4. Step 4: Simplify right side
    209,794.50x = 105,914,122,580.25
  5. Step 5: Solve for x
    x = 105,914,122,580.25/209,794.50
  6. Step 6: Final answer
    x = 504,846.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.