Finding the Third Proportional to 431 and 490
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Solution
The third proportional to 431 and 490 is: 557.08
Step by Step Solution
- Step 1: Write the proportion equation
431 : 490 = 490 : x - Step 2: Convert to fraction form
431/490 = 490/x - Step 3: Cross multiply
431x = 490 × 490 - Step 4: Simplify right side
431x = 240,100 - Step 5: Solve for x
x = 240,100/431 - Step 6: Final answer
x = 557.08
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.