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Finding the Third Proportional to 523,966.50 and 789,000.75

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Solution

The third proportional to 523,966.50 and 789,000.75 is: 1,188,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,966.50 : 789,000.75 = 789,000.75 : x
  2. Step 2: Convert to fraction form
    523,966.50/789,000.75 = 789,000.75/x
  3. Step 3: Cross multiply
    523,966.50x = 789,000.75 × 789,000.75
  4. Step 4: Simplify right side
    523,966.50x = 622,522,183,500.56
  5. Step 5: Solve for x
    x = 622,522,183,500.56/523,966.50
  6. Step 6: Final answer
    x = 1,188,095.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.