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Finding the Third Proportional to 338,405 and 752,455.75

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Solution

The third proportional to 338,405 and 752,455.75 is: 1,673,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,405 : 752,455.75 = 752,455.75 : x
  2. Step 2: Convert to fraction form
    338,405/752,455.75 = 752,455.75/x
  3. Step 3: Cross multiply
    338,405x = 752,455.75 × 752,455.75
  4. Step 4: Simplify right side
    338,405x = 566,189,655,708.06
  5. Step 5: Solve for x
    x = 566,189,655,708.06/338,405
  6. Step 6: Final answer
    x = 1,673,112.56

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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.