Finding the Third Proportional to 227,802 and 498,500
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Solution
The third proportional to 227,802 and 498,500 is: 1,090,869.48
Step by Step Solution
- Step 1: Write the proportion equation
227,802 : 498,500 = 498,500 : x - Step 2: Convert to fraction form
227,802/498,500 = 498,500/x - Step 3: Cross multiply
227,802x = 498,500 × 498,500 - Step 4: Simplify right side
227,802x = 248,502,250,000 - Step 5: Solve for x
x = 248,502,250,000/227,802 - Step 6: Final answer
x = 1,090,869.48
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.