Finding the Third Proportional to 216,530 and 472,408
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Solution
The third proportional to 216,530 and 472,408 is: 1,030,662.35
Step by Step Solution
- Step 1: Write the proportion equation
216,530 : 472,408 = 472,408 : x - Step 2: Convert to fraction form
216,530/472,408 = 472,408/x - Step 3: Cross multiply
216,530x = 472,408 × 472,408 - Step 4: Simplify right side
216,530x = 223,169,318,464 - Step 5: Solve for x
x = 223,169,318,464/216,530 - Step 6: Final answer
x = 1,030,662.35
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.