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Finding the Third Proportional to 333,517.50 and 741,640.75

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Solution

The third proportional to 333,517.50 and 741,640.75 is: 1,649,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,517.50 : 741,640.75 = 741,640.75 : x
  2. Step 2: Convert to fraction form
    333,517.50/741,640.75 = 741,640.75/x
  3. Step 3: Cross multiply
    333,517.50x = 741,640.75 × 741,640.75
  4. Step 4: Simplify right side
    333,517.50x = 550,030,996,266.49
  5. Step 5: Solve for x
    x = 550,030,996,266.49/333,517.50
  6. Step 6: Final answer
    x = 1,649,181.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.