Finding the Third Proportional to 565 and 1,016
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Solution
The third proportional to 565 and 1,016 is: 1,827.00
Step by Step Solution
- Step 1: Write the proportion equation
565 : 1,016 = 1,016 : x - Step 2: Convert to fraction form
565/1,016 = 1,016/x - Step 3: Cross multiply
565x = 1,016 × 1,016 - Step 4: Simplify right side
565x = 1,032,256 - Step 5: Solve for x
x = 1,032,256/565 - Step 6: Final answer
x = 1,827.00
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.