Finding the Third Proportional to 274,464 and 586,980
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Solution
The third proportional to 274,464 and 586,980 is: 1,255,339.57
Step by Step Solution
- Step 1: Write the proportion equation
274,464 : 586,980 = 586,980 : x - Step 2: Convert to fraction form
274,464/586,980 = 586,980/x - Step 3: Cross multiply
274,464x = 586,980 × 586,980 - Step 4: Simplify right side
274,464x = 344,545,520,400 - Step 5: Solve for x
x = 344,545,520,400/274,464 - Step 6: Final answer
x = 1,255,339.57
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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.