Finding the Third Proportional to 314 and 798
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Solution
The third proportional to 314 and 798 is: 2,028.04
Step by Step Solution
- Step 1: Write the proportion equation
314 : 798 = 798 : x - Step 2: Convert to fraction form
314/798 = 798/x - Step 3: Cross multiply
314x = 798 × 798 - Step 4: Simplify right side
314x = 636,804 - Step 5: Solve for x
x = 636,804/314 - Step 6: Final answer
x = 2,028.04
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These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.