Finding the Third Proportional to 219,432 and 472,164
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Solution
The third proportional to 219,432 and 472,164 is: 1,015,981.46
Step by Step Solution
- Step 1: Write the proportion equation
219,432 : 472,164 = 472,164 : x - Step 2: Convert to fraction form
219,432/472,164 = 472,164/x - Step 3: Cross multiply
219,432x = 472,164 × 472,164 - Step 4: Simplify right side
219,432x = 222,938,842,896 - Step 5: Solve for x
x = 222,938,842,896/219,432 - Step 6: Final answer
x = 1,015,981.46
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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.