Finding the Third Proportional to 233,396 and 512,008
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Solution
The third proportional to 233,396 and 512,008 is: 1,123,207.73
Step by Step Solution
- Step 1: Write the proportion equation
233,396 : 512,008 = 512,008 : x - Step 2: Convert to fraction form
233,396/512,008 = 512,008/x - Step 3: Cross multiply
233,396x = 512,008 × 512,008 - Step 4: Simplify right side
233,396x = 262,152,192,064 - Step 5: Solve for x
x = 262,152,192,064/233,396 - Step 6: Final answer
x = 1,123,207.73
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.