Finding the Third Proportional to 597 and 645
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Solution
The third proportional to 597 and 645 is: 696.86
Step by Step Solution
- Step 1: Write the proportion equation
597 : 645 = 645 : x - Step 2: Convert to fraction form
597/645 = 645/x - Step 3: Cross multiply
597x = 645 × 645 - Step 4: Simplify right side
597x = 416,025 - Step 5: Solve for x
x = 416,025/597 - Step 6: Final answer
x = 696.86
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.