Finding the Third Proportional to 528 and 1,023
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Solution
The third proportional to 528 and 1,023 is: 1,982.06
Step by Step Solution
- Step 1: Write the proportion equation
528 : 1,023 = 1,023 : x - Step 2: Convert to fraction form
528/1,023 = 1,023/x - Step 3: Cross multiply
528x = 1,023 × 1,023 - Step 4: Simplify right side
528x = 1,046,529 - Step 5: Solve for x
x = 1,046,529/528 - Step 6: Final answer
x = 1,982.06
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.