Finding the Third Proportional to 301,900 and 646,074
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Solution
The third proportional to 301,900 and 646,074 is: 1,382,615.48
Step by Step Solution
- Step 1: Write the proportion equation
301,900 : 646,074 = 646,074 : x - Step 2: Convert to fraction form
301,900/646,074 = 646,074/x - Step 3: Cross multiply
301,900x = 646,074 × 646,074 - Step 4: Simplify right side
301,900x = 417,411,613,476 - Step 5: Solve for x
x = 417,411,613,476/301,900 - Step 6: Final answer
x = 1,382,615.48
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.