Finding the Third Proportional to 257,760 and 559,800
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Solution
The third proportional to 257,760 and 559,800 is: 1,215,766.76
Step by Step Solution
- Step 1: Write the proportion equation
257,760 : 559,800 = 559,800 : x - Step 2: Convert to fraction form
257,760/559,800 = 559,800/x - Step 3: Cross multiply
257,760x = 559,800 × 559,800 - Step 4: Simplify right side
257,760x = 313,376,040,000 - Step 5: Solve for x
x = 313,376,040,000/257,760 - Step 6: Final answer
x = 1,215,766.76
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.