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Finding the Third Proportional to 497,562.75 and 789,093.56

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Solution

The third proportional to 497,562.75 and 789,093.56 is: 1,251,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,562.75 : 789,093.56 = 789,093.56 : x
  2. Step 2: Convert to fraction form
    497,562.75/789,093.56 = 789,093.56/x
  3. Step 3: Cross multiply
    497,562.75x = 789,093.56 × 789,093.56
  4. Step 4: Simplify right side
    497,562.75x = 622,668,650,378.94
  5. Step 5: Solve for x
    x = 622,668,650,378.94/497,562.75
  6. Step 6: Final answer
    x = 1,251,437.43

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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.