Finding the Third Proportional to 270,840 and 586,880
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Solution
The third proportional to 270,840 and 586,880 is: 1,271,703.35
Step by Step Solution
- Step 1: Write the proportion equation
270,840 : 586,880 = 586,880 : x - Step 2: Convert to fraction form
270,840/586,880 = 586,880/x - Step 3: Cross multiply
270,840x = 586,880 × 586,880 - Step 4: Simplify right side
270,840x = 344,428,134,400 - Step 5: Solve for x
x = 344,428,134,400/270,840 - Step 6: Final answer
x = 1,271,703.35
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.