Finding the Third Proportional to 457 and 550
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Solution
The third proportional to 457 and 550 is: 661.93
Step by Step Solution
- Step 1: Write the proportion equation
457 : 550 = 550 : x - Step 2: Convert to fraction form
457/550 = 550/x - Step 3: Cross multiply
457x = 550 × 550 - Step 4: Simplify right side
457x = 302,500 - Step 5: Solve for x
x = 302,500/457 - Step 6: Final answer
x = 661.93
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.