Finding the Third Proportional to 230,706 and 495,894
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Solution
The third proportional to 230,706 and 495,894 is: 1,065,905.78
Step by Step Solution
- Step 1: Write the proportion equation
230,706 : 495,894 = 495,894 : x - Step 2: Convert to fraction form
230,706/495,894 = 495,894/x - Step 3: Cross multiply
230,706x = 495,894 × 495,894 - Step 4: Simplify right side
230,706x = 245,910,859,236 - Step 5: Solve for x
x = 245,910,859,236/230,706 - Step 6: Final answer
x = 1,065,905.78
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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.