Finding the Third Proportional to 226,316 and 497,830
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Solution
The third proportional to 226,316 and 497,830 is: 1,095,082.58
Step by Step Solution
- Step 1: Write the proportion equation
226,316 : 497,830 = 497,830 : x - Step 2: Convert to fraction form
226,316/497,830 = 497,830/x - Step 3: Cross multiply
226,316x = 497,830 × 497,830 - Step 4: Simplify right side
226,316x = 247,834,708,900 - Step 5: Solve for x
x = 247,834,708,900/226,316 - Step 6: Final answer
x = 1,095,082.58
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.