Finding the Third Proportional to 327,523.50 and 497,193.75
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Solution
The third proportional to 327,523.50 and 497,193.75 is: 754,759.96
Step by Step Solution
- Step 1: Write the proportion equation
327,523.50 : 497,193.75 = 497,193.75 : x - Step 2: Convert to fraction form
327,523.50/497,193.75 = 497,193.75/x - Step 3: Cross multiply
327,523.50x = 497,193.75 × 497,193.75 - Step 4: Simplify right side
327,523.50x = 247,201,625,039.06 - Step 5: Solve for x
x = 247,201,625,039.06/327,523.50 - Step 6: Final answer
x = 754,759.96
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.