Finding the Third Proportional to 224,424 and 491,772
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Solution
The third proportional to 224,424 and 491,772 is: 1,077,601.77
Step by Step Solution
- Step 1: Write the proportion equation
224,424 : 491,772 = 491,772 : x - Step 2: Convert to fraction form
224,424/491,772 = 491,772/x - Step 3: Cross multiply
224,424x = 491,772 × 491,772 - Step 4: Simplify right side
224,424x = 241,839,699,984 - Step 5: Solve for x
x = 241,839,699,984/224,424 - Step 6: Final answer
x = 1,077,601.77
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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.