Finding the Third Proportional to 234,678 and 498,444
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Solution
The third proportional to 234,678 and 498,444 is: 1,058,669.42
Step by Step Solution
- Step 1: Write the proportion equation
234,678 : 498,444 = 498,444 : x - Step 2: Convert to fraction form
234,678/498,444 = 498,444/x - Step 3: Cross multiply
234,678x = 498,444 × 498,444 - Step 4: Simplify right side
234,678x = 248,446,421,136 - Step 5: Solve for x
x = 248,446,421,136/234,678 - Step 6: Final answer
x = 1,058,669.42
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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.