Finding the Third Proportional to 300,192 and 456,476
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Solution
The third proportional to 300,192 and 456,476 is: 694,123.56
Step by Step Solution
- Step 1: Write the proportion equation
300,192 : 456,476 = 456,476 : x - Step 2: Convert to fraction form
300,192/456,476 = 456,476/x - Step 3: Cross multiply
300,192x = 456,476 × 456,476 - Step 4: Simplify right side
300,192x = 208,370,338,576 - Step 5: Solve for x
x = 208,370,338,576/300,192 - Step 6: Final answer
x = 694,123.56
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.