Finding the Third Proportional to 224,414 and 484,494
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Solution
The third proportional to 224,414 and 484,494 is: 1,045,988.38
Step by Step Solution
- Step 1: Write the proportion equation
224,414 : 484,494 = 484,494 : x - Step 2: Convert to fraction form
224,414/484,494 = 484,494/x - Step 3: Cross multiply
224,414x = 484,494 × 484,494 - Step 4: Simplify right side
224,414x = 234,734,436,036 - Step 5: Solve for x
x = 234,734,436,036/224,414 - Step 6: Final answer
x = 1,045,988.38
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.