Finding the Third Proportional to 460,737 and 958,257
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Solution
The third proportional to 460,737 and 958,257 is: 1,993,016.58
Step by Step Solution
- Step 1: Write the proportion equation
460,737 : 958,257 = 958,257 : x - Step 2: Convert to fraction form
460,737/958,257 = 958,257/x - Step 3: Cross multiply
460,737x = 958,257 × 958,257 - Step 4: Simplify right side
460,737x = 918,256,478,049 - Step 5: Solve for x
x = 918,256,478,049/460,737 - Step 6: Final answer
x = 1,993,016.58
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.