Finding the Third Proportional to 221,036 and 473,096
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Solution
The third proportional to 221,036 and 473,096 is: 1,012,594.44
Step by Step Solution
- Step 1: Write the proportion equation
221,036 : 473,096 = 473,096 : x - Step 2: Convert to fraction form
221,036/473,096 = 473,096/x - Step 3: Cross multiply
221,036x = 473,096 × 473,096 - Step 4: Simplify right side
221,036x = 223,819,825,216 - Step 5: Solve for x
x = 223,819,825,216/221,036 - Step 6: Final answer
x = 1,012,594.44
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.