Finding the Third Proportional to 216,442 and 474,396
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Solution
The third proportional to 216,442 and 474,396 is: 1,039,777.70
Step by Step Solution
- Step 1: Write the proportion equation
216,442 : 474,396 = 474,396 : x - Step 2: Convert to fraction form
216,442/474,396 = 474,396/x - Step 3: Cross multiply
216,442x = 474,396 × 474,396 - Step 4: Simplify right side
216,442x = 225,051,564,816 - Step 5: Solve for x
x = 225,051,564,816/216,442 - Step 6: Final answer
x = 1,039,777.70
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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.