Finding the Third Proportional to 749 and 952
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Solution
The third proportional to 749 and 952 is: 1,210.02
Step by Step Solution
- Step 1: Write the proportion equation
749 : 952 = 952 : x - Step 2: Convert to fraction form
749/952 = 952/x - Step 3: Cross multiply
749x = 952 × 952 - Step 4: Simplify right side
749x = 906,304 - Step 5: Solve for x
x = 906,304/749 - Step 6: Final answer
x = 1,210.02
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.