Finding the Third Proportional to 281,816 and 586,908
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Solution
The third proportional to 281,816 and 586,908 is: 1,222,290.43
Step by Step Solution
- Step 1: Write the proportion equation
281,816 : 586,908 = 586,908 : x - Step 2: Convert to fraction form
281,816/586,908 = 586,908/x - Step 3: Cross multiply
281,816x = 586,908 × 586,908 - Step 4: Simplify right side
281,816x = 344,461,000,464 - Step 5: Solve for x
x = 344,461,000,464/281,816 - Step 6: Final answer
x = 1,222,290.43
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.