Finding the Third Proportional to 216,270 and 474,642
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Solution
The third proportional to 216,270 and 474,642 is: 1,041,684.14
Step by Step Solution
- Step 1: Write the proportion equation
216,270 : 474,642 = 474,642 : x - Step 2: Convert to fraction form
216,270/474,642 = 474,642/x - Step 3: Cross multiply
216,270x = 474,642 × 474,642 - Step 4: Simplify right side
216,270x = 225,285,028,164 - Step 5: Solve for x
x = 225,285,028,164/216,270 - Step 6: Final answer
x = 1,041,684.14
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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.