Finding the Third Proportional to 306,483 and 649,827
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Solution
The third proportional to 306,483 and 649,827 is: 1,377,809.31
Step by Step Solution
- Step 1: Write the proportion equation
306,483 : 649,827 = 649,827 : x - Step 2: Convert to fraction form
306,483/649,827 = 649,827/x - Step 3: Cross multiply
306,483x = 649,827 × 649,827 - Step 4: Simplify right side
306,483x = 422,275,129,929 - Step 5: Solve for x
x = 422,275,129,929/306,483 - Step 6: Final answer
x = 1,377,809.31
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.