Finding the Third Proportional to 200,448 and 435,870
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Solution
The third proportional to 200,448 and 435,870 is: 947,790.23
Step by Step Solution
- Step 1: Write the proportion equation
200,448 : 435,870 = 435,870 : x - Step 2: Convert to fraction form
200,448/435,870 = 435,870/x - Step 3: Cross multiply
200,448x = 435,870 × 435,870 - Step 4: Simplify right side
200,448x = 189,982,656,900 - Step 5: Solve for x
x = 189,982,656,900/200,448 - Step 6: Final answer
x = 947,790.23
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.