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Finding the Third Proportional to 353,515.50 and 763,072.50

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Solution

The third proportional to 353,515.50 and 763,072.50 is: 1,647,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,515.50 : 763,072.50 = 763,072.50 : x
  2. Step 2: Convert to fraction form
    353,515.50/763,072.50 = 763,072.50/x
  3. Step 3: Cross multiply
    353,515.50x = 763,072.50 × 763,072.50
  4. Step 4: Simplify right side
    353,515.50x = 582,279,640,256.25
  5. Step 5: Solve for x
    x = 582,279,640,256.25/353,515.50
  6. Step 6: Final answer
    x = 1,647,112.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.