Finding the Third Proportional to 591 and 1,282.50
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Solution
The third proportional to 591 and 1,282.50 is: 2,783.09
Step by Step Solution
- Step 1: Write the proportion equation
591 : 1,282.50 = 1,282.50 : x - Step 2: Convert to fraction form
591/1,282.50 = 1,282.50/x - Step 3: Cross multiply
591x = 1,282.50 × 1,282.50 - Step 4: Simplify right side
591x = 1,644,806.25 - Step 5: Solve for x
x = 1,644,806.25/591 - Step 6: Final answer
x = 2,783.09
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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.