Finding the Third Proportional to 232,928 and 499,096
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Solution
The third proportional to 232,928 and 499,096 is: 1,069,415.52
Step by Step Solution
- Step 1: Write the proportion equation
232,928 : 499,096 = 499,096 : x - Step 2: Convert to fraction form
232,928/499,096 = 499,096/x - Step 3: Cross multiply
232,928x = 499,096 × 499,096 - Step 4: Simplify right side
232,928x = 249,096,817,216 - Step 5: Solve for x
x = 249,096,817,216/232,928 - Step 6: Final answer
x = 1,069,415.52
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.