Finding the Third Proportional to 268,734 and 586,596
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Solution
The third proportional to 268,734 and 586,596 is: 1,280,429.22
Step by Step Solution
- Step 1: Write the proportion equation
268,734 : 586,596 = 586,596 : x - Step 2: Convert to fraction form
268,734/586,596 = 586,596/x - Step 3: Cross multiply
268,734x = 586,596 × 586,596 - Step 4: Simplify right side
268,734x = 344,094,867,216 - Step 5: Solve for x
x = 344,094,867,216/268,734 - Step 6: Final answer
x = 1,280,429.22
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.