Finding the Third Proportional to 211,730 and 464,930
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Solution
The third proportional to 211,730 and 464,930 is: 1,020,922.42
Step by Step Solution
- Step 1: Write the proportion equation
211,730 : 464,930 = 464,930 : x - Step 2: Convert to fraction form
211,730/464,930 = 464,930/x - Step 3: Cross multiply
211,730x = 464,930 × 464,930 - Step 4: Simplify right side
211,730x = 216,159,904,900 - Step 5: Solve for x
x = 216,159,904,900/211,730 - Step 6: Final answer
x = 1,020,922.42
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.