Finding the Third Proportional to 233,728 and 502,496
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Solution
The third proportional to 233,728 and 502,496 is: 1,080,325.12
Step by Step Solution
- Step 1: Write the proportion equation
233,728 : 502,496 = 502,496 : x - Step 2: Convert to fraction form
233,728/502,496 = 502,496/x - Step 3: Cross multiply
233,728x = 502,496 × 502,496 - Step 4: Simplify right side
233,728x = 252,502,230,016 - Step 5: Solve for x
x = 252,502,230,016/233,728 - Step 6: Final answer
x = 1,080,325.12
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.