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Finding the Third Proportional to 444,222 and 649,672.50

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Solution

The third proportional to 444,222 and 649,672.50 is: 950,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,222 : 649,672.50 = 649,672.50 : x
  2. Step 2: Convert to fraction form
    444,222/649,672.50 = 649,672.50/x
  3. Step 3: Cross multiply
    444,222x = 649,672.50 × 649,672.50
  4. Step 4: Simplify right side
    444,222x = 422,074,357,256.25
  5. Step 5: Solve for x
    x = 422,074,357,256.25/444,222
  6. Step 6: Final answer
    x = 950,142.85

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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.