Finding the Third Proportional to 226,232 and 491,808
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Solution
The third proportional to 226,232 and 491,808 is: 1,069,146.31
Step by Step Solution
- Step 1: Write the proportion equation
226,232 : 491,808 = 491,808 : x - Step 2: Convert to fraction form
226,232/491,808 = 491,808/x - Step 3: Cross multiply
226,232x = 491,808 × 491,808 - Step 4: Simplify right side
226,232x = 241,875,108,864 - Step 5: Solve for x
x = 241,875,108,864/226,232 - Step 6: Final answer
x = 1,069,146.31
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.