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Finding the Third Proportional to 444,225.50 and 649,677.50

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Solution

The third proportional to 444,225.50 and 649,677.50 is: 950,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,225.50 : 649,677.50 = 649,677.50 : x
  2. Step 2: Convert to fraction form
    444,225.50/649,677.50 = 649,677.50/x
  3. Step 3: Cross multiply
    444,225.50x = 649,677.50 × 649,677.50
  4. Step 4: Simplify right side
    444,225.50x = 422,080,854,006.25
  5. Step 5: Solve for x
    x = 422,080,854,006.25/444,225.50
  6. Step 6: Final answer
    x = 950,149.99

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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.