Finding the Third Proportional to 904 and 1,762
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Solution
The third proportional to 904 and 1,762 is: 3,434.34
Step by Step Solution
- Step 1: Write the proportion equation
904 : 1,762 = 1,762 : x - Step 2: Convert to fraction form
904/1,762 = 1,762/x - Step 3: Cross multiply
904x = 1,762 × 1,762 - Step 4: Simplify right side
904x = 3,104,644 - Step 5: Solve for x
x = 3,104,644/904 - Step 6: Final answer
x = 3,434.34
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.