Finding the Third Proportional to 224,704 and 491,632
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Solution
The third proportional to 224,704 and 491,632 is: 1,075,646.29
Step by Step Solution
- Step 1: Write the proportion equation
224,704 : 491,632 = 491,632 : x - Step 2: Convert to fraction form
224,704/491,632 = 491,632/x - Step 3: Cross multiply
224,704x = 491,632 × 491,632 - Step 4: Simplify right side
224,704x = 241,702,023,424 - Step 5: Solve for x
x = 241,702,023,424/224,704 - Step 6: Final answer
x = 1,075,646.29
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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.