Finding the Third Proportional to 214,224 and 507,531
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Solution
The third proportional to 214,224 and 507,531 is: 1,202,422.31
Step by Step Solution
- Step 1: Write the proportion equation
214,224 : 507,531 = 507,531 : x - Step 2: Convert to fraction form
214,224/507,531 = 507,531/x - Step 3: Cross multiply
214,224x = 507,531 × 507,531 - Step 4: Simplify right side
214,224x = 257,587,715,961 - Step 5: Solve for x
x = 257,587,715,961/214,224 - Step 6: Final answer
x = 1,202,422.31
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.