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Finding the Third Proportional to 546,717.94 and 769,560.75

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Solution

The third proportional to 546,717.94 and 769,560.75 is: 1,083,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,717.94 : 769,560.75 = 769,560.75 : x
  2. Step 2: Convert to fraction form
    546,717.94/769,560.75 = 769,560.75/x
  3. Step 3: Cross multiply
    546,717.94x = 769,560.75 × 769,560.75
  4. Step 4: Simplify right side
    546,717.94x = 592,223,747,940.56
  5. Step 5: Solve for x
    x = 592,223,747,940.56/546,717.94
  6. Step 6: Final answer
    x = 1,083,234.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.