Finding the Third Proportional to 211,462 and 464,982
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Solution
The third proportional to 211,462 and 464,982 is: 1,022,444.98
Step by Step Solution
- Step 1: Write the proportion equation
211,462 : 464,982 = 464,982 : x - Step 2: Convert to fraction form
211,462/464,982 = 464,982/x - Step 3: Cross multiply
211,462x = 464,982 × 464,982 - Step 4: Simplify right side
211,462x = 216,208,260,324 - Step 5: Solve for x
x = 216,208,260,324/211,462 - Step 6: Final answer
x = 1,022,444.98
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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.