Finding the Third Proportional to 212,706 and 464,050
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Solution
The third proportional to 212,706 and 464,050 is: 1,012,394.58
Step by Step Solution
- Step 1: Write the proportion equation
212,706 : 464,050 = 464,050 : x - Step 2: Convert to fraction form
212,706/464,050 = 464,050/x - Step 3: Cross multiply
212,706x = 464,050 × 464,050 - Step 4: Simplify right side
212,706x = 215,342,402,500 - Step 5: Solve for x
x = 215,342,402,500/212,706 - Step 6: Final answer
x = 1,012,394.58
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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.