Finding the Third Proportional to 295,926 and 463,722
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Solution
The third proportional to 295,926 and 463,722 is: 726,661.71
Step by Step Solution
- Step 1: Write the proportion equation
295,926 : 463,722 = 463,722 : x - Step 2: Convert to fraction form
295,926/463,722 = 463,722/x - Step 3: Cross multiply
295,926x = 463,722 × 463,722 - Step 4: Simplify right side
295,926x = 215,038,093,284 - Step 5: Solve for x
x = 215,038,093,284/295,926 - Step 6: Final answer
x = 726,661.71
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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.