Finding the Third Proportional to 227,824 and 532,300
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Solution
The third proportional to 227,824 and 532,300 is: 1,243,693.77
Step by Step Solution
- Step 1: Write the proportion equation
227,824 : 532,300 = 532,300 : x - Step 2: Convert to fraction form
227,824/532,300 = 532,300/x - Step 3: Cross multiply
227,824x = 532,300 × 532,300 - Step 4: Simplify right side
227,824x = 283,343,290,000 - Step 5: Solve for x
x = 283,343,290,000/227,824 - Step 6: Final answer
x = 1,243,693.77
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.