Finding the Third Proportional to 229,575 and 486,942
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Solution
The third proportional to 229,575 and 486,942 is: 1,032,832.46
Step by Step Solution
- Step 1: Write the proportion equation
229,575 : 486,942 = 486,942 : x - Step 2: Convert to fraction form
229,575/486,942 = 486,942/x - Step 3: Cross multiply
229,575x = 486,942 × 486,942 - Step 4: Simplify right side
229,575x = 237,112,511,364 - Step 5: Solve for x
x = 237,112,511,364/229,575 - Step 6: Final answer
x = 1,032,832.46
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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.