Finding the Third Proportional to 286,388 and 565,546
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Solution
The third proportional to 286,388 and 565,546 is: 1,116,814.52
Step by Step Solution
- Step 1: Write the proportion equation
286,388 : 565,546 = 565,546 : x - Step 2: Convert to fraction form
286,388/565,546 = 565,546/x - Step 3: Cross multiply
286,388x = 565,546 × 565,546 - Step 4: Simplify right side
286,388x = 319,842,278,116 - Step 5: Solve for x
x = 319,842,278,116/286,388 - Step 6: Final answer
x = 1,116,814.52
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.