Finding the Third Proportional to 670.50 and 1,422
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Solution
The third proportional to 670.50 and 1,422 is: 3,015.79
Step by Step Solution
- Step 1: Write the proportion equation
670.50 : 1,422 = 1,422 : x - Step 2: Convert to fraction form
670.50/1,422 = 1,422/x - Step 3: Cross multiply
670.50x = 1,422 × 1,422 - Step 4: Simplify right side
670.50x = 2,022,084 - Step 5: Solve for x
x = 2,022,084/670.50 - Step 6: Final answer
x = 3,015.79
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.