Finding the Third Proportional to 272,386 and 598,514
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Solution
The third proportional to 272,386 and 598,514 is: 1,315,115.34
Step by Step Solution
- Step 1: Write the proportion equation
272,386 : 598,514 = 598,514 : x - Step 2: Convert to fraction form
272,386/598,514 = 598,514/x - Step 3: Cross multiply
272,386x = 598,514 × 598,514 - Step 4: Simplify right side
272,386x = 358,219,008,196 - Step 5: Solve for x
x = 358,219,008,196/272,386 - Step 6: Final answer
x = 1,315,115.34
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.