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Finding the Third Proportional to 275,879.63 and 616,344.75

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Solution

The third proportional to 275,879.63 and 616,344.75 is: 1,376,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,879.63 : 616,344.75 = 616,344.75 : x
  2. Step 2: Convert to fraction form
    275,879.63/616,344.75 = 616,344.75/x
  3. Step 3: Cross multiply
    275,879.63x = 616,344.75 × 616,344.75
  4. Step 4: Simplify right side
    275,879.63x = 379,880,850,852.56
  5. Step 5: Solve for x
    x = 379,880,850,852.56/275,879.63
  6. Step 6: Final answer
    x = 1,376,980.45

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.