Finding the Third Proportional to 412 and 797
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Solution
The third proportional to 412 and 797 is: 1,541.77
Step by Step Solution
- Step 1: Write the proportion equation
412 : 797 = 797 : x - Step 2: Convert to fraction form
412/797 = 797/x - Step 3: Cross multiply
412x = 797 × 797 - Step 4: Simplify right side
412x = 635,209 - Step 5: Solve for x
x = 635,209/412 - Step 6: Final answer
x = 1,541.77
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.