Finding the Third Proportional to 740 and 1,603
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Solution
The third proportional to 740 and 1,603 is: 3,472.44
Step by Step Solution
- Step 1: Write the proportion equation
740 : 1,603 = 1,603 : x - Step 2: Convert to fraction form
740/1,603 = 1,603/x - Step 3: Cross multiply
740x = 1,603 × 1,603 - Step 4: Simplify right side
740x = 2,569,609 - Step 5: Solve for x
x = 2,569,609/740 - Step 6: Final answer
x = 3,472.44
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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.