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Finding the Third Proportional to 395,771.06 and 613,205.44

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Solution

The third proportional to 395,771.06 and 613,205.44 is: 950,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,771.06 : 613,205.44 = 613,205.44 : x
  2. Step 2: Convert to fraction form
    395,771.06/613,205.44 = 613,205.44/x
  3. Step 3: Cross multiply
    395,771.06x = 613,205.44 × 613,205.44
  4. Step 4: Simplify right side
    395,771.06x = 376,020,908,579.57
  5. Step 5: Solve for x
    x = 376,020,908,579.57/395,771.06
  6. Step 6: Final answer
    x = 950,097.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.