Finding the Third Proportional to 226,330 and 493,240
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Solution
The third proportional to 226,330 and 493,240 is: 1,074,915.82
Step by Step Solution
- Step 1: Write the proportion equation
226,330 : 493,240 = 493,240 : x - Step 2: Convert to fraction form
226,330/493,240 = 493,240/x - Step 3: Cross multiply
226,330x = 493,240 × 493,240 - Step 4: Simplify right side
226,330x = 243,285,697,600 - Step 5: Solve for x
x = 243,285,697,600/226,330 - Step 6: Final answer
x = 1,074,915.82
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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.