Finding the Third Proportional to 286,308 and 646,848
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Solution
The third proportional to 286,308 and 646,848 is: 1,461,406.37
Step by Step Solution
- Step 1: Write the proportion equation
286,308 : 646,848 = 646,848 : x - Step 2: Convert to fraction form
286,308/646,848 = 646,848/x - Step 3: Cross multiply
286,308x = 646,848 × 646,848 - Step 4: Simplify right side
286,308x = 418,412,335,104 - Step 5: Solve for x
x = 418,412,335,104/286,308 - Step 6: Final answer
x = 1,461,406.37
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.