Finding the Third Proportional to 409,344 and 880,896
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Solution
The third proportional to 409,344 and 880,896 is: 1,895,661.75
Step by Step Solution
- Step 1: Write the proportion equation
409,344 : 880,896 = 880,896 : x - Step 2: Convert to fraction form
409,344/880,896 = 880,896/x - Step 3: Cross multiply
409,344x = 880,896 × 880,896 - Step 4: Simplify right side
409,344x = 775,977,762,816 - Step 5: Solve for x
x = 775,977,762,816/409,344 - Step 6: Final answer
x = 1,895,661.75
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.