Finding the Third Proportional to 464 and 857
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Solution
The third proportional to 464 and 857 is: 1,582.86
Step by Step Solution
- Step 1: Write the proportion equation
464 : 857 = 857 : x - Step 2: Convert to fraction form
464/857 = 857/x - Step 3: Cross multiply
464x = 857 × 857 - Step 4: Simplify right side
464x = 734,449 - Step 5: Solve for x
x = 734,449/464 - Step 6: Final answer
x = 1,582.86
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.