Finding the Third Proportional to 256,415.63 and 593,623.69
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Solution
The third proportional to 256,415.63 and 593,623.69 is: 1,374,288.65
Step by Step Solution
- Step 1: Write the proportion equation
256,415.63 : 593,623.69 = 593,623.69 : x - Step 2: Convert to fraction form
256,415.63/593,623.69 = 593,623.69/x - Step 3: Cross multiply
256,415.63x = 593,623.69 × 593,623.69 - Step 4: Simplify right side
256,415.63x = 352,389,082,361.10 - Step 5: Solve for x
x = 352,389,082,361.10/256,415.63 - Step 6: Final answer
x = 1,374,288.65
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.