Finding the Third Proportional to 232,576 and 502,328
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Solution
The third proportional to 232,576 and 502,328 is: 1,084,950.38
Step by Step Solution
- Step 1: Write the proportion equation
232,576 : 502,328 = 502,328 : x - Step 2: Convert to fraction form
232,576/502,328 = 502,328/x - Step 3: Cross multiply
232,576x = 502,328 × 502,328 - Step 4: Simplify right side
232,576x = 252,333,419,584 - Step 5: Solve for x
x = 252,333,419,584/232,576 - Step 6: Final answer
x = 1,084,950.38
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.