Finding the Third Proportional to 410 and 1,114
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Solution
The third proportional to 410 and 1,114 is: 3,026.82
Step by Step Solution
- Step 1: Write the proportion equation
410 : 1,114 = 1,114 : x - Step 2: Convert to fraction form
410/1,114 = 1,114/x - Step 3: Cross multiply
410x = 1,114 × 1,114 - Step 4: Simplify right side
410x = 1,240,996 - Step 5: Solve for x
x = 1,240,996/410 - Step 6: Final answer
x = 3,026.82
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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.