Finding the Third Proportional to 227,250 and 493,812
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Solution
The third proportional to 227,250 and 493,812 is: 1,073,048.59
Step by Step Solution
- Step 1: Write the proportion equation
227,250 : 493,812 = 493,812 : x - Step 2: Convert to fraction form
227,250/493,812 = 493,812/x - Step 3: Cross multiply
227,250x = 493,812 × 493,812 - Step 4: Simplify right side
227,250x = 243,850,291,344 - Step 5: Solve for x
x = 243,850,291,344/227,250 - Step 6: Final answer
x = 1,073,048.59
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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.