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Finding the Third Proportional to 497,517.75 and 789,063.75

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Solution

The third proportional to 497,517.75 and 789,063.75 is: 1,251,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,517.75 : 789,063.75 = 789,063.75 : x
  2. Step 2: Convert to fraction form
    497,517.75/789,063.75 = 789,063.75/x
  3. Step 3: Cross multiply
    497,517.75x = 789,063.75 × 789,063.75
  4. Step 4: Simplify right side
    497,517.75x = 622,621,601,564.06
  5. Step 5: Solve for x
    x = 622,621,601,564.06/497,517.75
  6. Step 6: Final answer
    x = 1,251,456.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.