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Finding the Third Proportional to 369,120.75 and 789,426.75

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Solution

The third proportional to 369,120.75 and 789,426.75 is: 1,688,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,120.75 : 789,426.75 = 789,426.75 : x
  2. Step 2: Convert to fraction form
    369,120.75/789,426.75 = 789,426.75/x
  3. Step 3: Cross multiply
    369,120.75x = 789,426.75 × 789,426.75
  4. Step 4: Simplify right side
    369,120.75x = 623,194,593,615.56
  5. Step 5: Solve for x
    x = 623,194,593,615.56/369,120.75
  6. Step 6: Final answer
    x = 1,688,321.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.