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Finding the Third Proportional to 312,198.75 and 671,829.75

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Solution

The third proportional to 312,198.75 and 671,829.75 is: 1,445,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198.75 : 671,829.75 = 671,829.75 : x
  2. Step 2: Convert to fraction form
    312,198.75/671,829.75 = 671,829.75/x
  3. Step 3: Cross multiply
    312,198.75x = 671,829.75 × 671,829.75
  4. Step 4: Simplify right side
    312,198.75x = 451,355,212,985.06
  5. Step 5: Solve for x
    x = 451,355,212,985.06/312,198.75
  6. Step 6: Final answer
    x = 1,445,730.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.