Finding the Third Proportional to 225,025 and 492,084
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Solution
The third proportional to 225,025 and 492,084 is: 1,076,087.83
Step by Step Solution
- Step 1: Write the proportion equation
225,025 : 492,084 = 492,084 : x - Step 2: Convert to fraction form
225,025/492,084 = 492,084/x - Step 3: Cross multiply
225,025x = 492,084 × 492,084 - Step 4: Simplify right side
225,025x = 242,146,663,056 - Step 5: Solve for x
x = 242,146,663,056/225,025 - Step 6: Final answer
x = 1,076,087.83
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.