Finding the Third Proportional to 315,114.75 and 413,622
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Solution
The third proportional to 315,114.75 and 413,622 is: 542,923.36
Step by Step Solution
- Step 1: Write the proportion equation
315,114.75 : 413,622 = 413,622 : x - Step 2: Convert to fraction form
315,114.75/413,622 = 413,622/x - Step 3: Cross multiply
315,114.75x = 413,622 × 413,622 - Step 4: Simplify right side
315,114.75x = 171,083,158,884 - Step 5: Solve for x
x = 171,083,158,884/315,114.75 - Step 6: Final answer
x = 542,923.36
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.