Finding the Third Proportional to 260,814 and 553,614
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Solution
The third proportional to 260,814 and 553,614 is: 1,175,122.73
Step by Step Solution
- Step 1: Write the proportion equation
260,814 : 553,614 = 553,614 : x - Step 2: Convert to fraction form
260,814/553,614 = 553,614/x - Step 3: Cross multiply
260,814x = 553,614 × 553,614 - Step 4: Simplify right side
260,814x = 306,488,460,996 - Step 5: Solve for x
x = 306,488,460,996/260,814 - Step 6: Final answer
x = 1,175,122.73
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.