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Finding the Third Proportional to 301,800.75 and 628,394.25

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Solution

The third proportional to 301,800.75 and 628,394.25 is: 1,308,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,800.75 : 628,394.25 = 628,394.25 : x
  2. Step 2: Convert to fraction form
    301,800.75/628,394.25 = 628,394.25/x
  3. Step 3: Cross multiply
    301,800.75x = 628,394.25 × 628,394.25
  4. Step 4: Simplify right side
    301,800.75x = 394,879,333,433.06
  5. Step 5: Solve for x
    x = 394,879,333,433.06/301,800.75
  6. Step 6: Final answer
    x = 1,308,410.71

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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.