Finding the Third Proportional to 260,306 and 527,856
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Solution
The third proportional to 260,306 and 527,856 is: 1,070,401.59
Step by Step Solution
- Step 1: Write the proportion equation
260,306 : 527,856 = 527,856 : x - Step 2: Convert to fraction form
260,306/527,856 = 527,856/x - Step 3: Cross multiply
260,306x = 527,856 × 527,856 - Step 4: Simplify right side
260,306x = 278,631,956,736 - Step 5: Solve for x
x = 278,631,956,736/260,306 - Step 6: Final answer
x = 1,070,401.59
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.