Finding the Third Proportional to 301,123.50 and 443,361
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Solution
The third proportional to 301,123.50 and 443,361 is: 652,785.24
Step by Step Solution
- Step 1: Write the proportion equation
301,123.50 : 443,361 = 443,361 : x - Step 2: Convert to fraction form
301,123.50/443,361 = 443,361/x - Step 3: Cross multiply
301,123.50x = 443,361 × 443,361 - Step 4: Simplify right side
301,123.50x = 196,568,976,321 - Step 5: Solve for x
x = 196,568,976,321/301,123.50 - Step 6: Final answer
x = 652,785.24
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.