Finding the Third Proportional to 260,302 and 527,848
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Solution
The third proportional to 260,302 and 527,848 is: 1,070,385.59
Step by Step Solution
- Step 1: Write the proportion equation
260,302 : 527,848 = 527,848 : x - Step 2: Convert to fraction form
260,302/527,848 = 527,848/x - Step 3: Cross multiply
260,302x = 527,848 × 527,848 - Step 4: Simplify right side
260,302x = 278,623,511,104 - Step 5: Solve for x
x = 278,623,511,104/260,302 - Step 6: Final answer
x = 1,070,385.59
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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.