Finding the Third Proportional to 283,000 and 616,544
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Solution
The third proportional to 283,000 and 616,544 is: 1,343,203.19
Step by Step Solution
- Step 1: Write the proportion equation
283,000 : 616,544 = 616,544 : x - Step 2: Convert to fraction form
283,000/616,544 = 616,544/x - Step 3: Cross multiply
283,000x = 616,544 × 616,544 - Step 4: Simplify right side
283,000x = 380,126,503,936 - Step 5: Solve for x
x = 380,126,503,936/283,000 - Step 6: Final answer
x = 1,343,203.19
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.