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Finding the Third Proportional to 434,099.25 and 938,380.50

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Solution

The third proportional to 434,099.25 and 938,380.50 is: 2,028,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,099.25 : 938,380.50 = 938,380.50 : x
  2. Step 2: Convert to fraction form
    434,099.25/938,380.50 = 938,380.50/x
  3. Step 3: Cross multiply
    434,099.25x = 938,380.50 × 938,380.50
  4. Step 4: Simplify right side
    434,099.25x = 880,557,962,780.25
  5. Step 5: Solve for x
    x = 880,557,962,780.25/434,099.25
  6. Step 6: Final answer
    x = 2,028,471.51

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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.