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Finding the Third Proportional to 354,111.75 and 764,761.50

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Solution

The third proportional to 354,111.75 and 764,761.50 is: 1,651,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,111.75 : 764,761.50 = 764,761.50 : x
  2. Step 2: Convert to fraction form
    354,111.75/764,761.50 = 764,761.50/x
  3. Step 3: Cross multiply
    354,111.75x = 764,761.50 × 764,761.50
  4. Step 4: Simplify right side
    354,111.75x = 584,860,151,882.25
  5. Step 5: Solve for x
    x = 584,860,151,882.25/354,111.75
  6. Step 6: Final answer
    x = 1,651,625.94

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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.