Finding the Third Proportional to 460 and 495
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Solution
The third proportional to 460 and 495 is: 532.66
Step by Step Solution
- Step 1: Write the proportion equation
460 : 495 = 495 : x - Step 2: Convert to fraction form
460/495 = 495/x - Step 3: Cross multiply
460x = 495 × 495 - Step 4: Simplify right side
460x = 245,025 - Step 5: Solve for x
x = 245,025/460 - Step 6: Final answer
x = 532.66
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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.