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Finding the Third Proportional to 301,860.75 and 628,524.75

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Solution

The third proportional to 301,860.75 and 628,524.75 is: 1,308,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,860.75 : 628,524.75 = 628,524.75 : x
  2. Step 2: Convert to fraction form
    301,860.75/628,524.75 = 628,524.75/x
  3. Step 3: Cross multiply
    301,860.75x = 628,524.75 × 628,524.75
  4. Step 4: Simplify right side
    301,860.75x = 395,043,361,362.56
  5. Step 5: Solve for x
    x = 395,043,361,362.56/301,860.75
  6. Step 6: Final answer
    x = 1,308,694.03

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.