Finding the Third Proportional to 458 and 1,094
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Solution
The third proportional to 458 and 1,094 is: 2,613.18
Step by Step Solution
- Step 1: Write the proportion equation
458 : 1,094 = 1,094 : x - Step 2: Convert to fraction form
458/1,094 = 1,094/x - Step 3: Cross multiply
458x = 1,094 × 1,094 - Step 4: Simplify right side
458x = 1,196,836 - Step 5: Solve for x
x = 1,196,836/458 - Step 6: Final answer
x = 2,613.18
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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.