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Finding the Third Proportional to 444,223.50 and 649,674.75

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Solution

The third proportional to 444,223.50 and 649,674.75 is: 950,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,223.50 : 649,674.75 = 649,674.75 : x
  2. Step 2: Convert to fraction form
    444,223.50/649,674.75 = 649,674.75/x
  3. Step 3: Cross multiply
    444,223.50x = 649,674.75 × 649,674.75
  4. Step 4: Simplify right side
    444,223.50x = 422,077,280,787.56
  5. Step 5: Solve for x
    x = 422,077,280,787.56/444,223.50
  6. Step 6: Final answer
    x = 950,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.