Finding the Third Proportional to 230,224 and 498,864
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Solution
The third proportional to 230,224 and 498,864 is: 1,080,970.23
Step by Step Solution
- Step 1: Write the proportion equation
230,224 : 498,864 = 498,864 : x - Step 2: Convert to fraction form
230,224/498,864 = 498,864/x - Step 3: Cross multiply
230,224x = 498,864 × 498,864 - Step 4: Simplify right side
230,224x = 248,865,290,496 - Step 5: Solve for x
x = 248,865,290,496/230,224 - Step 6: Final answer
x = 1,080,970.23
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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.