Finding the Third Proportional to 224,448 and 491,820
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Solution
The third proportional to 224,448 and 491,820 is: 1,077,696.89
Step by Step Solution
- Step 1: Write the proportion equation
224,448 : 491,820 = 491,820 : x - Step 2: Convert to fraction form
224,448/491,820 = 491,820/x - Step 3: Cross multiply
224,448x = 491,820 × 491,820 - Step 4: Simplify right side
224,448x = 241,886,912,400 - Step 5: Solve for x
x = 241,886,912,400/224,448 - Step 6: Final answer
x = 1,077,696.89
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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.