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Finding the Third Proportional to 216,544.50 and 446,819.25

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Solution

The third proportional to 216,544.50 and 446,819.25 is: 921,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,544.50 : 446,819.25 = 446,819.25 : x
  2. Step 2: Convert to fraction form
    216,544.50/446,819.25 = 446,819.25/x
  3. Step 3: Cross multiply
    216,544.50x = 446,819.25 × 446,819.25
  4. Step 4: Simplify right side
    216,544.50x = 199,647,442,170.56
  5. Step 5: Solve for x
    x = 199,647,442,170.56/216,544.50
  6. Step 6: Final answer
    x = 921,969.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.