Finding the Third Proportional to 226,500 and 492,854
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Solution
The third proportional to 226,500 and 492,854 is: 1,072,428.54
Step by Step Solution
- Step 1: Write the proportion equation
226,500 : 492,854 = 492,854 : x - Step 2: Convert to fraction form
226,500/492,854 = 492,854/x - Step 3: Cross multiply
226,500x = 492,854 × 492,854 - Step 4: Simplify right side
226,500x = 242,905,065,316 - Step 5: Solve for x
x = 242,905,065,316/226,500 - Step 6: Final answer
x = 1,072,428.54
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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.