Finding the Third Proportional to 464 and 998
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Solution
The third proportional to 464 and 998 is: 2,146.56
Step by Step Solution
- Step 1: Write the proportion equation
464 : 998 = 998 : x - Step 2: Convert to fraction form
464/998 = 998/x - Step 3: Cross multiply
464x = 998 × 998 - Step 4: Simplify right side
464x = 996,004 - Step 5: Solve for x
x = 996,004/464 - Step 6: Final answer
x = 2,146.56
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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.