Finding the Third Proportional to 413,019 and 848,271
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Solution
The third proportional to 413,019 and 848,271 is: 1,742,204.81
Step by Step Solution
- Step 1: Write the proportion equation
413,019 : 848,271 = 848,271 : x - Step 2: Convert to fraction form
413,019/848,271 = 848,271/x - Step 3: Cross multiply
413,019x = 848,271 × 848,271 - Step 4: Simplify right side
413,019x = 719,563,689,441 - Step 5: Solve for x
x = 719,563,689,441/413,019 - Step 6: Final answer
x = 1,742,204.81
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.