Finding the Third Proportional to 229,024 and 491,960
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Solution
The third proportional to 229,024 and 491,960 is: 1,056,765.41
Step by Step Solution
- Step 1: Write the proportion equation
229,024 : 491,960 = 491,960 : x - Step 2: Convert to fraction form
229,024/491,960 = 491,960/x - Step 3: Cross multiply
229,024x = 491,960 × 491,960 - Step 4: Simplify right side
229,024x = 242,024,641,600 - Step 5: Solve for x
x = 242,024,641,600/229,024 - Step 6: Final answer
x = 1,056,765.41
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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.