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Finding the Third Proportional to 338,355.67 and 476,059.78

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Solution

The third proportional to 338,355.67 and 476,059.78 is: 669,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,355.67 : 476,059.78 = 476,059.78 : x
  2. Step 2: Convert to fraction form
    338,355.67/476,059.78 = 476,059.78/x
  3. Step 3: Cross multiply
    338,355.67x = 476,059.78 × 476,059.78
  4. Step 4: Simplify right side
    338,355.67x = 226,632,915,323.80
  5. Step 5: Solve for x
    x = 226,632,915,323.80/338,355.67
  6. Step 6: Final answer
    x = 669,806.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.