Finding the Third Proportional to 490 and 741
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Solution
The third proportional to 490 and 741 is: 1,120.57
Step by Step Solution
- Step 1: Write the proportion equation
490 : 741 = 741 : x - Step 2: Convert to fraction form
490/741 = 741/x - Step 3: Cross multiply
490x = 741 × 741 - Step 4: Simplify right side
490x = 549,081 - Step 5: Solve for x
x = 549,081/490 - Step 6: Final answer
x = 1,120.57
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.