Finding the Third Proportional to 232,410 and 492,724
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Solution
The third proportional to 232,410 and 492,724 is: 1,044,606.26
Step by Step Solution
- Step 1: Write the proportion equation
232,410 : 492,724 = 492,724 : x - Step 2: Convert to fraction form
232,410/492,724 = 492,724/x - Step 3: Cross multiply
232,410x = 492,724 × 492,724 - Step 4: Simplify right side
232,410x = 242,776,940,176 - Step 5: Solve for x
x = 242,776,940,176/232,410 - Step 6: Final answer
x = 1,044,606.26
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.