Finding the Third Proportional to 490 and 550
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Solution
The third proportional to 490 and 550 is: 617.35
Step by Step Solution
- Step 1: Write the proportion equation
490 : 550 = 550 : x - Step 2: Convert to fraction form
490/550 = 550/x - Step 3: Cross multiply
490x = 550 × 550 - Step 4: Simplify right side
490x = 302,500 - Step 5: Solve for x
x = 302,500/490 - Step 6: Final answer
x = 617.35
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.