Finding the Third Proportional to 225,024 and 489,504
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Solution
The third proportional to 225,024 and 489,504 is: 1,064,838.27
Step by Step Solution
- Step 1: Write the proportion equation
225,024 : 489,504 = 489,504 : x - Step 2: Convert to fraction form
225,024/489,504 = 489,504/x - Step 3: Cross multiply
225,024x = 489,504 × 489,504 - Step 4: Simplify right side
225,024x = 239,614,166,016 - Step 5: Solve for x
x = 239,614,166,016/225,024 - Step 6: Final answer
x = 1,064,838.27
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.