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Finding the Third Proportional to 355,008 and 775,067.50

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Solution

The third proportional to 355,008 and 775,067.50 is: 1,692,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,008 : 775,067.50 = 775,067.50 : x
  2. Step 2: Convert to fraction form
    355,008/775,067.50 = 775,067.50/x
  3. Step 3: Cross multiply
    355,008x = 775,067.50 × 775,067.50
  4. Step 4: Simplify right side
    355,008x = 600,729,629,556.25
  5. Step 5: Solve for x
    x = 600,729,629,556.25/355,008
  6. Step 6: Final answer
    x = 1,692,158.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.