Finding the Third Proportional to 431 and 465.50
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Solution
The third proportional to 431 and 465.50 is: 502.76
Step by Step Solution
- Step 1: Write the proportion equation
431 : 465.50 = 465.50 : x - Step 2: Convert to fraction form
431/465.50 = 465.50/x - Step 3: Cross multiply
431x = 465.50 × 465.50 - Step 4: Simplify right side
431x = 216,690.25 - Step 5: Solve for x
x = 216,690.25/431 - Step 6: Final answer
x = 502.76
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.