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Finding the Third Proportional to 444,206 and 649,650.50

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Solution

The third proportional to 444,206 and 649,650.50 is: 950,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,206 : 649,650.50 = 649,650.50 : x
  2. Step 2: Convert to fraction form
    444,206/649,650.50 = 649,650.50/x
  3. Step 3: Cross multiply
    444,206x = 649,650.50 × 649,650.50
  4. Step 4: Simplify right side
    444,206x = 422,045,772,150.25
  5. Step 5: Solve for x
    x = 422,045,772,150.25/444,206
  6. Step 6: Final answer
    x = 950,112.72

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