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Finding the Third Proportional to 311,694 and 671,055

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Solution

The third proportional to 311,694 and 671,055 is: 1,444,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694 : 671,055 = 671,055 : x
  2. Step 2: Convert to fraction form
    311,694/671,055 = 671,055/x
  3. Step 3: Cross multiply
    311,694x = 671,055 × 671,055
  4. Step 4: Simplify right side
    311,694x = 450,314,813,025
  5. Step 5: Solve for x
    x = 450,314,813,025/311,694
  6. Step 6: Final answer
    x = 1,444,733.66

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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.