Finding the Third Proportional to 211,284 and 460,476
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Solution
The third proportional to 211,284 and 460,476 is: 1,003,569.35
Step by Step Solution
- Step 1: Write the proportion equation
211,284 : 460,476 = 460,476 : x - Step 2: Convert to fraction form
211,284/460,476 = 460,476/x - Step 3: Cross multiply
211,284x = 460,476 × 460,476 - Step 4: Simplify right side
211,284x = 212,038,146,576 - Step 5: Solve for x
x = 212,038,146,576/211,284 - Step 6: Final answer
x = 1,003,569.35
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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.