Finding the Third Proportional to 282,290 and 605,514
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Solution
The third proportional to 282,290 and 605,514 is: 1,298,831.71
Step by Step Solution
- Step 1: Write the proportion equation
282,290 : 605,514 = 605,514 : x - Step 2: Convert to fraction form
282,290/605,514 = 605,514/x - Step 3: Cross multiply
282,290x = 605,514 × 605,514 - Step 4: Simplify right side
282,290x = 366,647,204,196 - Step 5: Solve for x
x = 366,647,204,196/282,290 - Step 6: Final answer
x = 1,298,831.71
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.