Finding the Third Proportional to 225,650 and 490,144
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Solution
The third proportional to 225,650 and 490,144 is: 1,064,662.71
Step by Step Solution
- Step 1: Write the proportion equation
225,650 : 490,144 = 490,144 : x - Step 2: Convert to fraction form
225,650/490,144 = 490,144/x - Step 3: Cross multiply
225,650x = 490,144 × 490,144 - Step 4: Simplify right side
225,650x = 240,241,140,736 - Step 5: Solve for x
x = 240,241,140,736/225,650 - Step 6: Final answer
x = 1,064,662.71
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.