Finding the Third Proportional to 381,447 and 560,493
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Solution
The third proportional to 381,447 and 560,493 is: 823,580.74
Step by Step Solution
- Step 1: Write the proportion equation
381,447 : 560,493 = 560,493 : x - Step 2: Convert to fraction form
381,447/560,493 = 560,493/x - Step 3: Cross multiply
381,447x = 560,493 × 560,493 - Step 4: Simplify right side
381,447x = 314,152,403,049 - Step 5: Solve for x
x = 314,152,403,049/381,447 - Step 6: Final answer
x = 823,580.74
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.