Finding the Third Proportional to 241,576 and 512,384
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Solution
The third proportional to 241,576 and 512,384 is: 1,086,769.23
Step by Step Solution
- Step 1: Write the proportion equation
241,576 : 512,384 = 512,384 : x - Step 2: Convert to fraction form
241,576/512,384 = 512,384/x - Step 3: Cross multiply
241,576x = 512,384 × 512,384 - Step 4: Simplify right side
241,576x = 262,537,363,456 - Step 5: Solve for x
x = 262,537,363,456/241,576 - Step 6: Final answer
x = 1,086,769.23
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.