Finding the Third Proportional to 211,944 and 463,260
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Solution
The third proportional to 211,944 and 463,260 is: 1,012,577.98
Step by Step Solution
- Step 1: Write the proportion equation
211,944 : 463,260 = 463,260 : x - Step 2: Convert to fraction form
211,944/463,260 = 463,260/x - Step 3: Cross multiply
211,944x = 463,260 × 463,260 - Step 4: Simplify right side
211,944x = 214,609,827,600 - Step 5: Solve for x
x = 214,609,827,600/211,944 - Step 6: Final answer
x = 1,012,577.98
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.