Finding the Third Proportional to 193,792 and 452,896
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Solution
The third proportional to 193,792 and 452,896 is: 1,058,427.52
Step by Step Solution
- Step 1: Write the proportion equation
193,792 : 452,896 = 452,896 : x - Step 2: Convert to fraction form
193,792/452,896 = 452,896/x - Step 3: Cross multiply
193,792x = 452,896 × 452,896 - Step 4: Simplify right side
193,792x = 205,114,786,816 - Step 5: Solve for x
x = 205,114,786,816/193,792 - Step 6: Final answer
x = 1,058,427.52
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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.