Finding the Third Proportional to 216,432 and 472,228
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Solution
The third proportional to 216,432 and 472,228 is: 1,030,343.41
Step by Step Solution
- Step 1: Write the proportion equation
216,432 : 472,228 = 472,228 : x - Step 2: Convert to fraction form
216,432/472,228 = 472,228/x - Step 3: Cross multiply
216,432x = 472,228 × 472,228 - Step 4: Simplify right side
216,432x = 222,999,283,984 - Step 5: Solve for x
x = 222,999,283,984/216,432 - Step 6: Final answer
x = 1,030,343.41
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.