Finding the Third Proportional to 344 and 564
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Solution
The third proportional to 344 and 564 is: 924.70
Step by Step Solution
- Step 1: Write the proportion equation
344 : 564 = 564 : x - Step 2: Convert to fraction form
344/564 = 564/x - Step 3: Cross multiply
344x = 564 × 564 - Step 4: Simplify right side
344x = 318,096 - Step 5: Solve for x
x = 318,096/344 - Step 6: Final answer
x = 924.70
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.