Finding the Third Proportional to 295,724.25 and 463,299.75
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Solution
The third proportional to 295,724.25 and 463,299.75 is: 725,833.81
Step by Step Solution
- Step 1: Write the proportion equation
295,724.25 : 463,299.75 = 463,299.75 : x - Step 2: Convert to fraction form
295,724.25/463,299.75 = 463,299.75/x - Step 3: Cross multiply
295,724.25x = 463,299.75 × 463,299.75 - Step 4: Simplify right side
295,724.25x = 214,646,658,350.06 - Step 5: Solve for x
x = 214,646,658,350.06/295,724.25 - Step 6: Final answer
x = 725,833.81
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.