Finding the Third Proportional to 216,783 and 463,698
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Solution
The third proportional to 216,783 and 463,698 is: 991,848.23
Step by Step Solution
- Step 1: Write the proportion equation
216,783 : 463,698 = 463,698 : x - Step 2: Convert to fraction form
216,783/463,698 = 463,698/x - Step 3: Cross multiply
216,783x = 463,698 × 463,698 - Step 4: Simplify right side
216,783x = 215,015,835,204 - Step 5: Solve for x
x = 215,015,835,204/216,783 - Step 6: Final answer
x = 991,848.23
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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.