Finding the Third Proportional to 229,416 and 493,992
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Solution
The third proportional to 229,416 and 493,992 is: 1,063,692.58
Step by Step Solution
- Step 1: Write the proportion equation
229,416 : 493,992 = 493,992 : x - Step 2: Convert to fraction form
229,416/493,992 = 493,992/x - Step 3: Cross multiply
229,416x = 493,992 × 493,992 - Step 4: Simplify right side
229,416x = 244,028,096,064 - Step 5: Solve for x
x = 244,028,096,064/229,416 - Step 6: Final answer
x = 1,063,692.58
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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.