Finding the Third Proportional to 213,025 and 463,634
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Solution
The third proportional to 213,025 and 463,634 is: 1,009,066.94
Step by Step Solution
- Step 1: Write the proportion equation
213,025 : 463,634 = 463,634 : x - Step 2: Convert to fraction form
213,025/463,634 = 463,634/x - Step 3: Cross multiply
213,025x = 463,634 × 463,634 - Step 4: Simplify right side
213,025x = 214,956,485,956 - Step 5: Solve for x
x = 214,956,485,956/213,025 - Step 6: Final answer
x = 1,009,066.94
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.