Finding the Third Proportional to 405,684 and 904,648
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Solution
The third proportional to 405,684 and 904,648 is: 2,017,304.12
Step by Step Solution
- Step 1: Write the proportion equation
405,684 : 904,648 = 904,648 : x - Step 2: Convert to fraction form
405,684/904,648 = 904,648/x - Step 3: Cross multiply
405,684x = 904,648 × 904,648 - Step 4: Simplify right side
405,684x = 818,388,003,904 - Step 5: Solve for x
x = 818,388,003,904/405,684 - Step 6: Final answer
x = 2,017,304.12
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.