Finding the Third Proportional to 282,610.50 and 614,307
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Solution
The third proportional to 282,610.50 and 614,307 is: 1,335,311.64
Step by Step Solution
- Step 1: Write the proportion equation
282,610.50 : 614,307 = 614,307 : x - Step 2: Convert to fraction form
282,610.50/614,307 = 614,307/x - Step 3: Cross multiply
282,610.50x = 614,307 × 614,307 - Step 4: Simplify right side
282,610.50x = 377,373,090,249 - Step 5: Solve for x
x = 377,373,090,249/282,610.50 - Step 6: Final answer
x = 1,335,311.64
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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.