Finding the Third Proportional to 258,311 and 566,464
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Solution
The third proportional to 258,311 and 566,464 is: 1,242,229.19
Step by Step Solution
- Step 1: Write the proportion equation
258,311 : 566,464 = 566,464 : x - Step 2: Convert to fraction form
258,311/566,464 = 566,464/x - Step 3: Cross multiply
258,311x = 566,464 × 566,464 - Step 4: Simplify right side
258,311x = 320,881,463,296 - Step 5: Solve for x
x = 320,881,463,296/258,311 - Step 6: Final answer
x = 1,242,229.19
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.