Finding the Third Proportional to 410 and 842
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Solution
The third proportional to 410 and 842 is: 1,729.18
Step by Step Solution
- Step 1: Write the proportion equation
410 : 842 = 842 : x - Step 2: Convert to fraction form
410/842 = 842/x - Step 3: Cross multiply
410x = 842 × 842 - Step 4: Simplify right side
410x = 708,964 - Step 5: Solve for x
x = 708,964/410 - Step 6: Final answer
x = 1,729.18
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.