Finding the Third Proportional to 217,948 and 467,000
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Solution
The third proportional to 217,948 and 467,000 is: 1,000,646.94
Step by Step Solution
- Step 1: Write the proportion equation
217,948 : 467,000 = 467,000 : x - Step 2: Convert to fraction form
217,948/467,000 = 467,000/x - Step 3: Cross multiply
217,948x = 467,000 × 467,000 - Step 4: Simplify right side
217,948x = 218,089,000,000 - Step 5: Solve for x
x = 218,089,000,000/217,948 - Step 6: Final answer
x = 1,000,646.94
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.