Finding the Third Proportional to 227,468 and 497,944
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Solution
The third proportional to 227,468 and 497,944 is: 1,090,035.64
Step by Step Solution
- Step 1: Write the proportion equation
227,468 : 497,944 = 497,944 : x - Step 2: Convert to fraction form
227,468/497,944 = 497,944/x - Step 3: Cross multiply
227,468x = 497,944 × 497,944 - Step 4: Simplify right side
227,468x = 247,948,227,136 - Step 5: Solve for x
x = 247,948,227,136/227,468 - Step 6: Final answer
x = 1,090,035.64
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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.