Finding the Third Proportional to 309,438 and 675,236
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Solution
The third proportional to 309,438 and 675,236 is: 1,473,457.22
Step by Step Solution
- Step 1: Write the proportion equation
309,438 : 675,236 = 675,236 : x - Step 2: Convert to fraction form
309,438/675,236 = 675,236/x - Step 3: Cross multiply
309,438x = 675,236 × 675,236 - Step 4: Simplify right side
309,438x = 455,943,655,696 - Step 5: Solve for x
x = 455,943,655,696/309,438 - Step 6: Final answer
x = 1,473,457.22
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.