Finding the Third Proportional to 208,418 and 491,501
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Solution
The third proportional to 208,418 and 491,501 is: 1,159,080.47
Step by Step Solution
- Step 1: Write the proportion equation
208,418 : 491,501 = 491,501 : x - Step 2: Convert to fraction form
208,418/491,501 = 491,501/x - Step 3: Cross multiply
208,418x = 491,501 × 491,501 - Step 4: Simplify right side
208,418x = 241,573,233,001 - Step 5: Solve for x
x = 241,573,233,001/208,418 - Step 6: Final answer
x = 1,159,080.47
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.