Finding the Third Proportional to 997 and 1,287
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Solution
The third proportional to 997 and 1,287 is: 1,661.35
Step by Step Solution
- Step 1: Write the proportion equation
997 : 1,287 = 1,287 : x - Step 2: Convert to fraction form
997/1,287 = 1,287/x - Step 3: Cross multiply
997x = 1,287 × 1,287 - Step 4: Simplify right side
997x = 1,656,369 - Step 5: Solve for x
x = 1,656,369/997 - Step 6: Final answer
x = 1,661.35
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.