Finding the Third Proportional to 224,644 and 494,216
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Solution
The third proportional to 224,644 and 494,216 is: 1,087,273.44
Step by Step Solution
- Step 1: Write the proportion equation
224,644 : 494,216 = 494,216 : x - Step 2: Convert to fraction form
224,644/494,216 = 494,216/x - Step 3: Cross multiply
224,644x = 494,216 × 494,216 - Step 4: Simplify right side
224,644x = 244,249,454,656 - Step 5: Solve for x
x = 244,249,454,656/224,644 - Step 6: Final answer
x = 1,087,273.44
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.