Finding the Third Proportional to 224,650 and 490,466
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Solution
The third proportional to 224,650 and 490,466 is: 1,070,807.47
Step by Step Solution
- Step 1: Write the proportion equation
224,650 : 490,466 = 490,466 : x - Step 2: Convert to fraction form
224,650/490,466 = 490,466/x - Step 3: Cross multiply
224,650x = 490,466 × 490,466 - Step 4: Simplify right side
224,650x = 240,556,897,156 - Step 5: Solve for x
x = 240,556,897,156/224,650 - Step 6: Final answer
x = 1,070,807.47
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.