Finding the Third Proportional to 200,328 and 465,828
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Solution
The third proportional to 200,328 and 465,828 is: 1,083,202.18
Step by Step Solution
- Step 1: Write the proportion equation
200,328 : 465,828 = 465,828 : x - Step 2: Convert to fraction form
200,328/465,828 = 465,828/x - Step 3: Cross multiply
200,328x = 465,828 × 465,828 - Step 4: Simplify right side
200,328x = 216,995,725,584 - Step 5: Solve for x
x = 216,995,725,584/200,328 - Step 6: Final answer
x = 1,083,202.18
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.