Finding the Third Proportional to 217,464 and 461,064
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Solution
The third proportional to 217,464 and 461,064 is: 977,541.17
Step by Step Solution
- Step 1: Write the proportion equation
217,464 : 461,064 = 461,064 : x - Step 2: Convert to fraction form
217,464/461,064 = 461,064/x - Step 3: Cross multiply
217,464x = 461,064 × 461,064 - Step 4: Simplify right side
217,464x = 212,580,012,096 - Step 5: Solve for x
x = 212,580,012,096/217,464 - Step 6: Final answer
x = 977,541.17
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.