Finding the Third Proportional to 409,276 and 838,228
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Solution
The third proportional to 409,276 and 838,228 is: 1,716,753.93
Step by Step Solution
- Step 1: Write the proportion equation
409,276 : 838,228 = 838,228 : x - Step 2: Convert to fraction form
409,276/838,228 = 838,228/x - Step 3: Cross multiply
409,276x = 838,228 × 838,228 - Step 4: Simplify right side
409,276x = 702,626,179,984 - Step 5: Solve for x
x = 702,626,179,984/409,276 - Step 6: Final answer
x = 1,716,753.93
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.