Finding the Third Proportional to 317,424 and 491,904
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Solution
The third proportional to 317,424 and 491,904 is: 762,291.27
Step by Step Solution
- Step 1: Write the proportion equation
317,424 : 491,904 = 491,904 : x - Step 2: Convert to fraction form
317,424/491,904 = 491,904/x - Step 3: Cross multiply
317,424x = 491,904 × 491,904 - Step 4: Simplify right side
317,424x = 241,969,545,216 - Step 5: Solve for x
x = 241,969,545,216/317,424 - Step 6: Final answer
x = 762,291.27
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.