Finding the Third Proportional to 273,216 and 594,304
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Solution
The third proportional to 273,216 and 594,304 is: 1,292,739.97
Step by Step Solution
- Step 1: Write the proportion equation
273,216 : 594,304 = 594,304 : x - Step 2: Convert to fraction form
273,216/594,304 = 594,304/x - Step 3: Cross multiply
273,216x = 594,304 × 594,304 - Step 4: Simplify right side
273,216x = 353,197,244,416 - Step 5: Solve for x
x = 353,197,244,416/273,216 - Step 6: Final answer
x = 1,292,739.97
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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.