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Finding the Third Proportional to 325,674 and 504,225

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Solution

The third proportional to 325,674 and 504,225 is: 780,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,674 : 504,225 = 504,225 : x
  2. Step 2: Convert to fraction form
    325,674/504,225 = 504,225/x
  3. Step 3: Cross multiply
    325,674x = 504,225 × 504,225
  4. Step 4: Simplify right side
    325,674x = 254,242,850,625
  5. Step 5: Solve for x
    x = 254,242,850,625/325,674
  6. Step 6: Final answer
    x = 780,666.71

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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.