Finding the Third Proportional to 218,844 and 470,952
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Solution
The third proportional to 218,844 and 470,952 is: 1,013,488.08
Step by Step Solution
- Step 1: Write the proportion equation
218,844 : 470,952 = 470,952 : x - Step 2: Convert to fraction form
218,844/470,952 = 470,952/x - Step 3: Cross multiply
218,844x = 470,952 × 470,952 - Step 4: Simplify right side
218,844x = 221,795,786,304 - Step 5: Solve for x
x = 221,795,786,304/218,844 - Step 6: Final answer
x = 1,013,488.08
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.