Finding the Third Proportional to 904 and 1,056
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Solution
The third proportional to 904 and 1,056 is: 1,233.56
Step by Step Solution
- Step 1: Write the proportion equation
904 : 1,056 = 1,056 : x - Step 2: Convert to fraction form
904/1,056 = 1,056/x - Step 3: Cross multiply
904x = 1,056 × 1,056 - Step 4: Simplify right side
904x = 1,115,136 - Step 5: Solve for x
x = 1,115,136/904 - Step 6: Final answer
x = 1,233.56
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.