Finding the Third Proportional to 224,417 and 491,064
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Solution
The third proportional to 224,417 and 491,064 is: 1,074,534.69
Step by Step Solution
- Step 1: Write the proportion equation
224,417 : 491,064 = 491,064 : x - Step 2: Convert to fraction form
224,417/491,064 = 491,064/x - Step 3: Cross multiply
224,417x = 491,064 × 491,064 - Step 4: Simplify right side
224,417x = 241,143,852,096 - Step 5: Solve for x
x = 241,143,852,096/224,417 - Step 6: Final answer
x = 1,074,534.69
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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.