Finding the Third Proportional to 600 and 1,028
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Solution
The third proportional to 600 and 1,028 is: 1,761.31
Step by Step Solution
- Step 1: Write the proportion equation
600 : 1,028 = 1,028 : x - Step 2: Convert to fraction form
600/1,028 = 1,028/x - Step 3: Cross multiply
600x = 1,028 × 1,028 - Step 4: Simplify right side
600x = 1,056,784 - Step 5: Solve for x
x = 1,056,784/600 - Step 6: Final answer
x = 1,761.31
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.