Finding the Third Proportional to 464 and 584
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Solution
The third proportional to 464 and 584 is: 735.03
Step by Step Solution
- Step 1: Write the proportion equation
464 : 584 = 584 : x - Step 2: Convert to fraction form
464/584 = 584/x - Step 3: Cross multiply
464x = 584 × 584 - Step 4: Simplify right side
464x = 341,056 - Step 5: Solve for x
x = 341,056/464 - Step 6: Final answer
x = 735.03
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.