Finding the Third Proportional to 209,382 and 460,236
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Solution
The third proportional to 209,382 and 460,236 is: 1,011,630.30
Step by Step Solution
- Step 1: Write the proportion equation
209,382 : 460,236 = 460,236 : x - Step 2: Convert to fraction form
209,382/460,236 = 460,236/x - Step 3: Cross multiply
209,382x = 460,236 × 460,236 - Step 4: Simplify right side
209,382x = 211,817,175,696 - Step 5: Solve for x
x = 211,817,175,696/209,382 - Step 6: Final answer
x = 1,011,630.30
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.