Finding the Third Proportional to 214,752 and 466,410
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Solution
The third proportional to 214,752 and 466,410 is: 1,012,974.45
Step by Step Solution
- Step 1: Write the proportion equation
214,752 : 466,410 = 466,410 : x - Step 2: Convert to fraction form
214,752/466,410 = 466,410/x - Step 3: Cross multiply
214,752x = 466,410 × 466,410 - Step 4: Simplify right side
214,752x = 217,538,288,100 - Step 5: Solve for x
x = 217,538,288,100/214,752 - Step 6: Final answer
x = 1,012,974.45
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.