Finding the Third Proportional to 597 and 1,233
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Solution
The third proportional to 597 and 1,233 is: 2,546.55
Step by Step Solution
- Step 1: Write the proportion equation
597 : 1,233 = 1,233 : x - Step 2: Convert to fraction form
597/1,233 = 1,233/x - Step 3: Cross multiply
597x = 1,233 × 1,233 - Step 4: Simplify right side
597x = 1,520,289 - Step 5: Solve for x
x = 1,520,289/597 - Step 6: Final answer
x = 2,546.55
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.