Finding the Third Proportional to 460 and 988
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Solution
The third proportional to 460 and 988 is: 2,122.05
Step by Step Solution
- Step 1: Write the proportion equation
460 : 988 = 988 : x - Step 2: Convert to fraction form
460/988 = 988/x - Step 3: Cross multiply
460x = 988 × 988 - Step 4: Simplify right side
460x = 976,144 - Step 5: Solve for x
x = 976,144/460 - Step 6: Final answer
x = 2,122.05
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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.