Finding the Third Proportional to 342,412 and 824,900
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Solution
The third proportional to 342,412 and 824,900 is: 1,987,255.15
Step by Step Solution
- Step 1: Write the proportion equation
342,412 : 824,900 = 824,900 : x - Step 2: Convert to fraction form
342,412/824,900 = 824,900/x - Step 3: Cross multiply
342,412x = 824,900 × 824,900 - Step 4: Simplify right side
342,412x = 680,460,010,000 - Step 5: Solve for x
x = 680,460,010,000/342,412 - Step 6: Final answer
x = 1,987,255.15
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.