Finding the Third Proportional to 594 and 1,464
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Solution
The third proportional to 594 and 1,464 is: 3,608.24
Step by Step Solution
- Step 1: Write the proportion equation
594 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
594/1,464 = 1,464/x - Step 3: Cross multiply
594x = 1,464 × 1,464 - Step 4: Simplify right side
594x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/594 - Step 6: Final answer
x = 3,608.24
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Why These Related Problems?
These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.