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Finding the Third Proportional to 317,940.75 and 691,102.13

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Solution

The third proportional to 317,940.75 and 691,102.13 is: 1,502,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,940.75 : 691,102.13 = 691,102.13 : x
  2. Step 2: Convert to fraction form
    317,940.75/691,102.13 = 691,102.13/x
  3. Step 3: Cross multiply
    317,940.75x = 691,102.13 × 691,102.13
  4. Step 4: Simplify right side
    317,940.75x = 477,622,147,179.52
  5. Step 5: Solve for x
    x = 477,622,147,179.52/317,940.75
  6. Step 6: Final answer
    x = 1,502,236.34

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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.