Finding the Third Proportional to 470 and 968
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Solution
The third proportional to 470 and 968 is: 1,993.67
Step by Step Solution
- Step 1: Write the proportion equation
470 : 968 = 968 : x - Step 2: Convert to fraction form
470/968 = 968/x - Step 3: Cross multiply
470x = 968 × 968 - Step 4: Simplify right side
470x = 937,024 - Step 5: Solve for x
x = 937,024/470 - Step 6: Final answer
x = 1,993.67
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.