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Finding the Third Proportional to 338,670 and 746,453.25

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Solution

The third proportional to 338,670 and 746,453.25 is: 1,645,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,670 : 746,453.25 = 746,453.25 : x
  2. Step 2: Convert to fraction form
    338,670/746,453.25 = 746,453.25/x
  3. Step 3: Cross multiply
    338,670x = 746,453.25 × 746,453.25
  4. Step 4: Simplify right side
    338,670x = 557,192,454,435.56
  5. Step 5: Solve for x
    x = 557,192,454,435.56/338,670
  6. Step 6: Final answer
    x = 1,645,237.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.