Finding the Third Proportional to 622 and 1,357
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Solution
The third proportional to 622 and 1,357 is: 2,960.53
Step by Step Solution
- Step 1: Write the proportion equation
622 : 1,357 = 1,357 : x - Step 2: Convert to fraction form
622/1,357 = 1,357/x - Step 3: Cross multiply
622x = 1,357 × 1,357 - Step 4: Simplify right side
622x = 1,841,449 - Step 5: Solve for x
x = 1,841,449/622 - Step 6: Final answer
x = 2,960.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.