Finding the Third Proportional to 412,822.13 and 581,343.75
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Solution
The third proportional to 412,822.13 and 581,343.75 is: 818,659.02
Step by Step Solution
- Step 1: Write the proportion equation
412,822.13 : 581,343.75 = 581,343.75 : x - Step 2: Convert to fraction form
412,822.13/581,343.75 = 581,343.75/x - Step 3: Cross multiply
412,822.13x = 581,343.75 × 581,343.75 - Step 4: Simplify right side
412,822.13x = 337,960,555,664.06 - Step 5: Solve for x
x = 337,960,555,664.06/412,822.13 - Step 6: Final answer
x = 818,659.02
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.