Finding the Third Proportional to 232,382 and 507,406
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Solution
The third proportional to 232,382 and 507,406 is: 1,107,920.79
Step by Step Solution
- Step 1: Write the proportion equation
232,382 : 507,406 = 507,406 : x - Step 2: Convert to fraction form
232,382/507,406 = 507,406/x - Step 3: Cross multiply
232,382x = 507,406 × 507,406 - Step 4: Simplify right side
232,382x = 257,460,848,836 - Step 5: Solve for x
x = 257,460,848,836/232,382 - Step 6: Final answer
x = 1,107,920.79
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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.