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Finding the Third Proportional to 441,618.75 and 970,329.75

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Solution

The third proportional to 441,618.75 and 970,329.75 is: 2,132,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,618.75 : 970,329.75 = 970,329.75 : x
  2. Step 2: Convert to fraction form
    441,618.75/970,329.75 = 970,329.75/x
  3. Step 3: Cross multiply
    441,618.75x = 970,329.75 × 970,329.75
  4. Step 4: Simplify right side
    441,618.75x = 941,539,823,735.06
  5. Step 5: Solve for x
    x = 941,539,823,735.06/441,618.75
  6. Step 6: Final answer
    x = 2,132,019.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.