Finding the Third Proportional to 224,546 and 480,214
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Solution
The third proportional to 224,546 and 480,214 is: 1,026,985.50
Step by Step Solution
- Step 1: Write the proportion equation
224,546 : 480,214 = 480,214 : x - Step 2: Convert to fraction form
224,546/480,214 = 480,214/x - Step 3: Cross multiply
224,546x = 480,214 × 480,214 - Step 4: Simplify right side
224,546x = 230,605,485,796 - Step 5: Solve for x
x = 230,605,485,796/224,546 - Step 6: Final answer
x = 1,026,985.50
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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.