Finding the Third Proportional to 298,500 and 614,520
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Solution
The third proportional to 298,500 and 614,520 is: 1,265,108.31
Step by Step Solution
- Step 1: Write the proportion equation
298,500 : 614,520 = 614,520 : x - Step 2: Convert to fraction form
298,500/614,520 = 614,520/x - Step 3: Cross multiply
298,500x = 614,520 × 614,520 - Step 4: Simplify right side
298,500x = 377,634,830,400 - Step 5: Solve for x
x = 377,634,830,400/298,500 - Step 6: Final answer
x = 1,265,108.31
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.