Finding the Third Proportional to 286,320 and 646,878
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Solution
The third proportional to 286,320 and 646,878 is: 1,461,480.68
Step by Step Solution
- Step 1: Write the proportion equation
286,320 : 646,878 = 646,878 : x - Step 2: Convert to fraction form
286,320/646,878 = 646,878/x - Step 3: Cross multiply
286,320x = 646,878 × 646,878 - Step 4: Simplify right side
286,320x = 418,451,146,884 - Step 5: Solve for x
x = 418,451,146,884/286,320 - Step 6: Final answer
x = 1,461,480.68
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.