Finding the Third Proportional to 217,830 and 469,036
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Solution
The third proportional to 217,830 and 469,036 is: 1,009,937.88
Step by Step Solution
- Step 1: Write the proportion equation
217,830 : 469,036 = 469,036 : x - Step 2: Convert to fraction form
217,830/469,036 = 469,036/x - Step 3: Cross multiply
217,830x = 469,036 × 469,036 - Step 4: Simplify right side
217,830x = 219,994,769,296 - Step 5: Solve for x
x = 219,994,769,296/217,830 - Step 6: Final answer
x = 1,009,937.88
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.