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Finding the Third Proportional to 523,968 and 789,003

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Solution

The third proportional to 523,968 and 789,003 is: 1,188,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,968 : 789,003 = 789,003 : x
  2. Step 2: Convert to fraction form
    523,968/789,003 = 789,003/x
  3. Step 3: Cross multiply
    523,968x = 789,003 × 789,003
  4. Step 4: Simplify right side
    523,968x = 622,525,734,009
  5. Step 5: Solve for x
    x = 622,525,734,009/523,968
  6. Step 6: Final answer
    x = 1,188,098.77

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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.