Finding the Third Proportional to 211,370 and 498,456
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Solution
The third proportional to 211,370 and 498,456 is: 1,175,466.64
Step by Step Solution
- Step 1: Write the proportion equation
211,370 : 498,456 = 498,456 : x - Step 2: Convert to fraction form
211,370/498,456 = 498,456/x - Step 3: Cross multiply
211,370x = 498,456 × 498,456 - Step 4: Simplify right side
211,370x = 248,458,383,936 - Step 5: Solve for x
x = 248,458,383,936/211,370 - Step 6: Final answer
x = 1,175,466.64
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.