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Finding the Third Proportional to 338,415.75 and 752,478.75

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Solution

The third proportional to 338,415.75 and 752,478.75 is: 1,673,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,415.75 : 752,478.75 = 752,478.75 : x
  2. Step 2: Convert to fraction form
    338,415.75/752,478.75 = 752,478.75/x
  3. Step 3: Cross multiply
    338,415.75x = 752,478.75 × 752,478.75
  4. Step 4: Simplify right side
    338,415.75x = 566,224,269,201.56
  5. Step 5: Solve for x
    x = 566,224,269,201.56/338,415.75
  6. Step 6: Final answer
    x = 1,673,161.69

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