Finding the Third Proportional to 211,944 and 465,718
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Solution
The third proportional to 211,944 and 465,718 is: 1,023,351.71
Step by Step Solution
- Step 1: Write the proportion equation
211,944 : 465,718 = 465,718 : x - Step 2: Convert to fraction form
211,944/465,718 = 465,718/x - Step 3: Cross multiply
211,944x = 465,718 × 465,718 - Step 4: Simplify right side
211,944x = 216,893,255,524 - Step 5: Solve for x
x = 216,893,255,524/211,944 - Step 6: Final answer
x = 1,023,351.71
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.