Finding the Third Proportional to 422 and 731
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Solution
The third proportional to 422 and 731 is: 1,266.26
Step by Step Solution
- Step 1: Write the proportion equation
422 : 731 = 731 : x - Step 2: Convert to fraction form
422/731 = 731/x - Step 3: Cross multiply
422x = 731 × 731 - Step 4: Simplify right side
422x = 534,361 - Step 5: Solve for x
x = 534,361/422 - Step 6: Final answer
x = 1,266.26
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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.