Finding the Third Proportional to 229,410 and 492,045
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Solution
The third proportional to 229,410 and 492,045 is: 1,055,351.91
Step by Step Solution
- Step 1: Write the proportion equation
229,410 : 492,045 = 492,045 : x - Step 2: Convert to fraction form
229,410/492,045 = 492,045/x - Step 3: Cross multiply
229,410x = 492,045 × 492,045 - Step 4: Simplify right side
229,410x = 242,108,282,025 - Step 5: Solve for x
x = 242,108,282,025/229,410 - Step 6: Final answer
x = 1,055,351.91
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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.