Finding the Third Proportional to 230,784 and 494,784
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Solution
The third proportional to 230,784 and 494,784 is: 1,060,780.67
Step by Step Solution
- Step 1: Write the proportion equation
230,784 : 494,784 = 494,784 : x - Step 2: Convert to fraction form
230,784/494,784 = 494,784/x - Step 3: Cross multiply
230,784x = 494,784 × 494,784 - Step 4: Simplify right side
230,784x = 244,811,206,656 - Step 5: Solve for x
x = 244,811,206,656/230,784 - Step 6: Final answer
x = 1,060,780.67
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.