Finding the Third Proportional to 205,622 and 475,986
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Solution
The third proportional to 205,622 and 475,986 is: 1,101,840.62
Step by Step Solution
- Step 1: Write the proportion equation
205,622 : 475,986 = 475,986 : x - Step 2: Convert to fraction form
205,622/475,986 = 475,986/x - Step 3: Cross multiply
205,622x = 475,986 × 475,986 - Step 4: Simplify right side
205,622x = 226,562,672,196 - Step 5: Solve for x
x = 226,562,672,196/205,622 - Step 6: Final answer
x = 1,101,840.62
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.