Finding the Third Proportional to 230,744 and 495,960
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Solution
The third proportional to 230,744 and 495,960 is: 1,066,013.94
Step by Step Solution
- Step 1: Write the proportion equation
230,744 : 495,960 = 495,960 : x - Step 2: Convert to fraction form
230,744/495,960 = 495,960/x - Step 3: Cross multiply
230,744x = 495,960 × 495,960 - Step 4: Simplify right side
230,744x = 245,976,321,600 - Step 5: Solve for x
x = 245,976,321,600/230,744 - Step 6: Final answer
x = 1,066,013.94
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.