Finding the Third Proportional to 578 and 952
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Solution
The third proportional to 578 and 952 is: 1,568
Step by Step Solution
- Step 1: Write the proportion equation
578 : 952 = 952 : x - Step 2: Convert to fraction form
578/952 = 952/x - Step 3: Cross multiply
578x = 952 × 952 - Step 4: Simplify right side
578x = 906,304 - Step 5: Solve for x
x = 906,304/578 - Step 6: Final answer
x = 1,568
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.