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Finding the Third Proportional to 312,199.50 and 676,887.75

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Solution

The third proportional to 312,199.50 and 676,887.75 is: 1,467,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.50 : 676,887.75 = 676,887.75 : x
  2. Step 2: Convert to fraction form
    312,199.50/676,887.75 = 676,887.75/x
  3. Step 3: Cross multiply
    312,199.50x = 676,887.75 × 676,887.75
  4. Step 4: Simplify right side
    312,199.50x = 458,177,026,100.06
  5. Step 5: Solve for x
    x = 458,177,026,100.06/312,199.50
  6. Step 6: Final answer
    x = 1,467,577.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.