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Finding the Third Proportional to 441,450 and 952,843.50

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Solution

The third proportional to 441,450 and 952,843.50 is: 2,056,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,450 : 952,843.50 = 952,843.50 : x
  2. Step 2: Convert to fraction form
    441,450/952,843.50 = 952,843.50/x
  3. Step 3: Cross multiply
    441,450x = 952,843.50 × 952,843.50
  4. Step 4: Simplify right side
    441,450x = 907,910,735,492.25
  5. Step 5: Solve for x
    x = 907,910,735,492.25/441,450
  6. Step 6: Final answer
    x = 2,056,655.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.