Finding the Third Proportional to 412 and 510
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Solution
The third proportional to 412 and 510 is: 631.31
Step by Step Solution
- Step 1: Write the proportion equation
412 : 510 = 510 : x - Step 2: Convert to fraction form
412/510 = 510/x - Step 3: Cross multiply
412x = 510 × 510 - Step 4: Simplify right side
412x = 260,100 - Step 5: Solve for x
x = 260,100/412 - Step 6: Final answer
x = 631.31
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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.