Finding the Third Proportional to 281,782.50 and 586,837.50
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Solution
The third proportional to 281,782.50 and 586,837.50 is: 1,222,142.08
Step by Step Solution
- Step 1: Write the proportion equation
281,782.50 : 586,837.50 = 586,837.50 : x - Step 2: Convert to fraction form
281,782.50/586,837.50 = 586,837.50/x - Step 3: Cross multiply
281,782.50x = 586,837.50 × 586,837.50 - Step 4: Simplify right side
281,782.50x = 344,378,251,406.25 - Step 5: Solve for x
x = 344,378,251,406.25/281,782.50 - Step 6: Final answer
x = 1,222,142.08
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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.