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Finding the Third Proportional to 436,645.75 and 694,334.50

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Solution

The third proportional to 436,645.75 and 694,334.50 is: 1,104,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,645.75 : 694,334.50 = 694,334.50 : x
  2. Step 2: Convert to fraction form
    436,645.75/694,334.50 = 694,334.50/x
  3. Step 3: Cross multiply
    436,645.75x = 694,334.50 × 694,334.50
  4. Step 4: Simplify right side
    436,645.75x = 482,100,397,890.25
  5. Step 5: Solve for x
    x = 482,100,397,890.25/436,645.75
  6. Step 6: Final answer
    x = 1,104,099.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.