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Finding the Third Proportional to 338,843.25 and 705,777.75

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Solution

The third proportional to 338,843.25 and 705,777.75 is: 1,470,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,843.25 : 705,777.75 = 705,777.75 : x
  2. Step 2: Convert to fraction form
    338,843.25/705,777.75 = 705,777.75/x
  3. Step 3: Cross multiply
    338,843.25x = 705,777.75 × 705,777.75
  4. Step 4: Simplify right side
    338,843.25x = 498,122,232,395.06
  5. Step 5: Solve for x
    x = 498,122,232,395.06/338,843.25
  6. Step 6: Final answer
    x = 1,470,066.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.