Finding the Third Proportional to 650 and 1,644
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Solution
The third proportional to 650 and 1,644 is: 4,158.06
Step by Step Solution
- Step 1: Write the proportion equation
650 : 1,644 = 1,644 : x - Step 2: Convert to fraction form
650/1,644 = 1,644/x - Step 3: Cross multiply
650x = 1,644 × 1,644 - Step 4: Simplify right side
650x = 2,702,736 - Step 5: Solve for x
x = 2,702,736/650 - Step 6: Final answer
x = 4,158.06
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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.