Finding the Third Proportional to 797 and 1,317
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Solution
The third proportional to 797 and 1,317 is: 2,176.27
Step by Step Solution
- Step 1: Write the proportion equation
797 : 1,317 = 1,317 : x - Step 2: Convert to fraction form
797/1,317 = 1,317/x - Step 3: Cross multiply
797x = 1,317 × 1,317 - Step 4: Simplify right side
797x = 1,734,489 - Step 5: Solve for x
x = 1,734,489/797 - Step 6: Final answer
x = 2,176.27
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.