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Finding the Third Proportional to 444,933 and 666,321.19

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Solution

The third proportional to 444,933 and 666,321.19 is: 997,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,933 : 666,321.19 = 666,321.19 : x
  2. Step 2: Convert to fraction form
    444,933/666,321.19 = 666,321.19/x
  3. Step 3: Cross multiply
    444,933x = 666,321.19 × 666,321.19
  4. Step 4: Simplify right side
    444,933x = 443,983,924,911.41
  5. Step 5: Solve for x
    x = 443,983,924,911.41/444,933
  6. Step 6: Final answer
    x = 997,866.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.