Finding the Third Proportional to 207,224 and 458,008
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Solution
The third proportional to 207,224 and 458,008 is: 1,012,292.63
Step by Step Solution
- Step 1: Write the proportion equation
207,224 : 458,008 = 458,008 : x - Step 2: Convert to fraction form
207,224/458,008 = 458,008/x - Step 3: Cross multiply
207,224x = 458,008 × 458,008 - Step 4: Simplify right side
207,224x = 209,771,328,064 - Step 5: Solve for x
x = 209,771,328,064/207,224 - Step 6: Final answer
x = 1,012,292.63
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.