Finding the Third Proportional to 216,432 and 469,830
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Solution
The third proportional to 216,432 and 469,830 is: 1,019,905.69
Step by Step Solution
- Step 1: Write the proportion equation
216,432 : 469,830 = 469,830 : x - Step 2: Convert to fraction form
216,432/469,830 = 469,830/x - Step 3: Cross multiply
216,432x = 469,830 × 469,830 - Step 4: Simplify right side
216,432x = 220,740,228,900 - Step 5: Solve for x
x = 220,740,228,900/216,432 - Step 6: Final answer
x = 1,019,905.69
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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.