Finding the Third Proportional to 379,044 and 824,900
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Solution
The third proportional to 379,044 and 824,900 is: 1,795,200.58
Step by Step Solution
- Step 1: Write the proportion equation
379,044 : 824,900 = 824,900 : x - Step 2: Convert to fraction form
379,044/824,900 = 824,900/x - Step 3: Cross multiply
379,044x = 824,900 × 824,900 - Step 4: Simplify right side
379,044x = 680,460,010,000 - Step 5: Solve for x
x = 680,460,010,000/379,044 - Step 6: Final answer
x = 1,795,200.58
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.