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Finding the Third Proportional to 444,912.75 and 959,809.50

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Solution

The third proportional to 444,912.75 and 959,809.50 is: 2,070,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,912.75 : 959,809.50 = 959,809.50 : x
  2. Step 2: Convert to fraction form
    444,912.75/959,809.50 = 959,809.50/x
  3. Step 3: Cross multiply
    444,912.75x = 959,809.50 × 959,809.50
  4. Step 4: Simplify right side
    444,912.75x = 921,234,276,290.25
  5. Step 5: Solve for x
    x = 921,234,276,290.25/444,912.75
  6. Step 6: Final answer
    x = 2,070,595.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.