Finding the Third Proportional to 735 and 1,329
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Solution
The third proportional to 735 and 1,329 is: 2,403.05
Step by Step Solution
- Step 1: Write the proportion equation
735 : 1,329 = 1,329 : x - Step 2: Convert to fraction form
735/1,329 = 1,329/x - Step 3: Cross multiply
735x = 1,329 × 1,329 - Step 4: Simplify right side
735x = 1,766,241 - Step 5: Solve for x
x = 1,766,241/735 - Step 6: Final answer
x = 2,403.05
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.