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Finding the Third Proportional to 294,609.38 and 627,855.75

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Solution

The third proportional to 294,609.38 and 627,855.75 is: 1,338,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,609.38 : 627,855.75 = 627,855.75 : x
  2. Step 2: Convert to fraction form
    294,609.38/627,855.75 = 627,855.75/x
  3. Step 3: Cross multiply
    294,609.38x = 627,855.75 × 627,855.75
  4. Step 4: Simplify right side
    294,609.38x = 394,202,842,808.06
  5. Step 5: Solve for x
    x = 394,202,842,808.06/294,609.38
  6. Step 6: Final answer
    x = 1,338,052.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.