Finding the Third Proportional to 208,032 and 443,712
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Solution
The third proportional to 208,032 and 443,712 is: 946,394.49
Step by Step Solution
- Step 1: Write the proportion equation
208,032 : 443,712 = 443,712 : x - Step 2: Convert to fraction form
208,032/443,712 = 443,712/x - Step 3: Cross multiply
208,032x = 443,712 × 443,712 - Step 4: Simplify right side
208,032x = 196,880,338,944 - Step 5: Solve for x
x = 196,880,338,944/208,032 - Step 6: Final answer
x = 946,394.49
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.