Finding the Third Proportional to 929 and 1,469
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Solution
The third proportional to 929 and 1,469 is: 2,322.89
Step by Step Solution
- Step 1: Write the proportion equation
929 : 1,469 = 1,469 : x - Step 2: Convert to fraction form
929/1,469 = 1,469/x - Step 3: Cross multiply
929x = 1,469 × 1,469 - Step 4: Simplify right side
929x = 2,157,961 - Step 5: Solve for x
x = 2,157,961/929 - Step 6: Final answer
x = 2,322.89
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.