Finding the Third Proportional to 227,040 and 493,380
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Solution
The third proportional to 227,040 and 493,380 is: 1,072,162.72
Step by Step Solution
- Step 1: Write the proportion equation
227,040 : 493,380 = 493,380 : x - Step 2: Convert to fraction form
227,040/493,380 = 493,380/x - Step 3: Cross multiply
227,040x = 493,380 × 493,380 - Step 4: Simplify right side
227,040x = 243,423,824,400 - Step 5: Solve for x
x = 243,423,824,400/227,040 - Step 6: Final answer
x = 1,072,162.72
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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.