Finding the Third Proportional to 227,842 and 498,574
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Solution
The third proportional to 227,842 and 498,574 is: 1,091,001.81
Step by Step Solution
- Step 1: Write the proportion equation
227,842 : 498,574 = 498,574 : x - Step 2: Convert to fraction form
227,842/498,574 = 498,574/x - Step 3: Cross multiply
227,842x = 498,574 × 498,574 - Step 4: Simplify right side
227,842x = 248,576,033,476 - Step 5: Solve for x
x = 248,576,033,476/227,842 - Step 6: Final answer
x = 1,091,001.81
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.