Finding the Third Proportional to 216,982 and 470,050
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Solution
The third proportional to 216,982 and 470,050 is: 1,018,273.42
Step by Step Solution
- Step 1: Write the proportion equation
216,982 : 470,050 = 470,050 : x - Step 2: Convert to fraction form
216,982/470,050 = 470,050/x - Step 3: Cross multiply
216,982x = 470,050 × 470,050 - Step 4: Simplify right side
216,982x = 220,947,002,500 - Step 5: Solve for x
x = 220,947,002,500/216,982 - Step 6: Final answer
x = 1,018,273.42
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.