Finding the Third Proportional to 200,916 and 428,488
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Solution
The third proportional to 200,916 and 428,488 is: 913,824.51
Step by Step Solution
- Step 1: Write the proportion equation
200,916 : 428,488 = 428,488 : x - Step 2: Convert to fraction form
200,916/428,488 = 428,488/x - Step 3: Cross multiply
200,916x = 428,488 × 428,488 - Step 4: Simplify right side
200,916x = 183,601,966,144 - Step 5: Solve for x
x = 183,601,966,144/200,916 - Step 6: Final answer
x = 913,824.51
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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.