Finding the Third Proportional to 322.75 and 487.25
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Solution
The third proportional to 322.75 and 487.25 is: 735.59
Step by Step Solution
- Step 1: Write the proportion equation
322.75 : 487.25 = 487.25 : x - Step 2: Convert to fraction form
322.75/487.25 = 487.25/x - Step 3: Cross multiply
322.75x = 487.25 × 487.25 - Step 4: Simplify right side
322.75x = 237,412.56 - Step 5: Solve for x
x = 237,412.56/322.75 - Step 6: Final answer
x = 735.59
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.