Finding the Third Proportional to 224,450 and 491,132
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Solution
The third proportional to 224,450 and 491,132 is: 1,074,674.28
Step by Step Solution
- Step 1: Write the proportion equation
224,450 : 491,132 = 491,132 : x - Step 2: Convert to fraction form
224,450/491,132 = 491,132/x - Step 3: Cross multiply
224,450x = 491,132 × 491,132 - Step 4: Simplify right side
224,450x = 241,210,641,424 - Step 5: Solve for x
x = 241,210,641,424/224,450 - Step 6: Final answer
x = 1,074,674.28
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.