Finding the Third Proportional to 569 and 1,002
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Solution
The third proportional to 569 and 1,002 is: 1,764.51
Step by Step Solution
- Step 1: Write the proportion equation
569 : 1,002 = 1,002 : x - Step 2: Convert to fraction form
569/1,002 = 1,002/x - Step 3: Cross multiply
569x = 1,002 × 1,002 - Step 4: Simplify right side
569x = 1,004,004 - Step 5: Solve for x
x = 1,004,004/569 - Step 6: Final answer
x = 1,764.51
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.