Finding the Third Proportional to 218,810 and 470,884
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Solution
The third proportional to 218,810 and 470,884 is: 1,013,352.87
Step by Step Solution
- Step 1: Write the proportion equation
218,810 : 470,884 = 470,884 : x - Step 2: Convert to fraction form
218,810/470,884 = 470,884/x - Step 3: Cross multiply
218,810x = 470,884 × 470,884 - Step 4: Simplify right side
218,810x = 221,731,741,456 - Step 5: Solve for x
x = 221,731,741,456/218,810 - Step 6: Final answer
x = 1,013,352.87
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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.