Finding the Third Proportional to 230,517 and 503,064
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Solution
The third proportional to 230,517 and 503,064 is: 1,097,851.30
Step by Step Solution
- Step 1: Write the proportion equation
230,517 : 503,064 = 503,064 : x - Step 2: Convert to fraction form
230,517/503,064 = 503,064/x - Step 3: Cross multiply
230,517x = 503,064 × 503,064 - Step 4: Simplify right side
230,517x = 253,073,388,096 - Step 5: Solve for x
x = 253,073,388,096/230,517 - Step 6: Final answer
x = 1,097,851.30
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.