Finding the Third Proportional to 227,456 and 497,920
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Solution
The third proportional to 227,456 and 497,920 is: 1,089,988.07
Step by Step Solution
- Step 1: Write the proportion equation
227,456 : 497,920 = 497,920 : x - Step 2: Convert to fraction form
227,456/497,920 = 497,920/x - Step 3: Cross multiply
227,456x = 497,920 × 497,920 - Step 4: Simplify right side
227,456x = 247,924,326,400 - Step 5: Solve for x
x = 247,924,326,400/227,456 - Step 6: Final answer
x = 1,089,988.07
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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.