Finding the Third Proportional to 218,064 and 474,960
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Solution
The third proportional to 218,064 and 474,960 is: 1,034,499.05
Step by Step Solution
- Step 1: Write the proportion equation
218,064 : 474,960 = 474,960 : x - Step 2: Convert to fraction form
218,064/474,960 = 474,960/x - Step 3: Cross multiply
218,064x = 474,960 × 474,960 - Step 4: Simplify right side
218,064x = 225,587,001,600 - Step 5: Solve for x
x = 225,587,001,600/218,064 - Step 6: Final answer
x = 1,034,499.05
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.