Finding the Third Proportional to 216,440 and 474,392
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Solution
The third proportional to 216,440 and 474,392 is: 1,039,769.77
Step by Step Solution
- Step 1: Write the proportion equation
216,440 : 474,392 = 474,392 : x - Step 2: Convert to fraction form
216,440/474,392 = 474,392/x - Step 3: Cross multiply
216,440x = 474,392 × 474,392 - Step 4: Simplify right side
216,440x = 225,047,769,664 - Step 5: Solve for x
x = 225,047,769,664/216,440 - Step 6: Final answer
x = 1,039,769.77
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.