Finding the Third Proportional to 230,226 and 498,868
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Solution
The third proportional to 230,226 and 498,868 is: 1,080,978.18
Step by Step Solution
- Step 1: Write the proportion equation
230,226 : 498,868 = 498,868 : x - Step 2: Convert to fraction form
230,226/498,868 = 498,868/x - Step 3: Cross multiply
230,226x = 498,868 × 498,868 - Step 4: Simplify right side
230,226x = 248,869,281,424 - Step 5: Solve for x
x = 248,869,281,424/230,226 - Step 6: Final answer
x = 1,080,978.18
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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.