Finding the Third Proportional to 324,258.19 and 461,910.94
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Solution
The third proportional to 324,258.19 and 461,910.94 is: 657,999.47
Step by Step Solution
- Step 1: Write the proportion equation
324,258.19 : 461,910.94 = 461,910.94 : x - Step 2: Convert to fraction form
324,258.19/461,910.94 = 461,910.94/x - Step 3: Cross multiply
324,258.19x = 461,910.94 × 461,910.94 - Step 4: Simplify right side
324,258.19x = 213,361,714,182.13 - Step 5: Solve for x
x = 213,361,714,182.13/324,258.19 - Step 6: Final answer
x = 657,999.47
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.