Finding the Third Proportional to 286,272 and 378,510
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Solution
The third proportional to 286,272 and 378,510 is: 500,467.46
Step by Step Solution
- Step 1: Write the proportion equation
286,272 : 378,510 = 378,510 : x - Step 2: Convert to fraction form
286,272/378,510 = 378,510/x - Step 3: Cross multiply
286,272x = 378,510 × 378,510 - Step 4: Simplify right side
286,272x = 143,269,820,100 - Step 5: Solve for x
x = 143,269,820,100/286,272 - Step 6: Final answer
x = 500,467.46
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.