Finding the Third Proportional to 470 and 1,259
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Solution
The third proportional to 470 and 1,259 is: 3,372.51
Step by Step Solution
- Step 1: Write the proportion equation
470 : 1,259 = 1,259 : x - Step 2: Convert to fraction form
470/1,259 = 1,259/x - Step 3: Cross multiply
470x = 1,259 × 1,259 - Step 4: Simplify right side
470x = 1,585,081 - Step 5: Solve for x
x = 1,585,081/470 - Step 6: Final answer
x = 3,372.51
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Why These Related Problems?
These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.