Finding the Third Proportional to 272,824 and 420,900
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Solution
The third proportional to 272,824 and 420,900 is: 649,344.67
Step by Step Solution
- Step 1: Write the proportion equation
272,824 : 420,900 = 420,900 : x - Step 2: Convert to fraction form
272,824/420,900 = 420,900/x - Step 3: Cross multiply
272,824x = 420,900 × 420,900 - Step 4: Simplify right side
272,824x = 177,156,810,000 - Step 5: Solve for x
x = 177,156,810,000/272,824 - Step 6: Final answer
x = 649,344.67
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.