Finding the Third Proportional to 229,784 and 480,496
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Solution
The third proportional to 229,784 and 480,496 is: 1,004,754.06
Step by Step Solution
- Step 1: Write the proportion equation
229,784 : 480,496 = 480,496 : x - Step 2: Convert to fraction form
229,784/480,496 = 480,496/x - Step 3: Cross multiply
229,784x = 480,496 × 480,496 - Step 4: Simplify right side
229,784x = 230,876,406,016 - Step 5: Solve for x
x = 230,876,406,016/229,784 - Step 6: Final answer
x = 1,004,754.06
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.