Finding the Third Proportional to 904 and 1,026
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Solution
The third proportional to 904 and 1,026 is: 1,164.46
Step by Step Solution
- Step 1: Write the proportion equation
904 : 1,026 = 1,026 : x - Step 2: Convert to fraction form
904/1,026 = 1,026/x - Step 3: Cross multiply
904x = 1,026 × 1,026 - Step 4: Simplify right side
904x = 1,052,676 - Step 5: Solve for x
x = 1,052,676/904 - Step 6: Final answer
x = 1,164.46
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.