Finding the Third Proportional to 212,520 and 462,426
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Solution
The third proportional to 212,520 and 462,426 is: 1,006,200.85
Step by Step Solution
- Step 1: Write the proportion equation
212,520 : 462,426 = 462,426 : x - Step 2: Convert to fraction form
212,520/462,426 = 462,426/x - Step 3: Cross multiply
212,520x = 462,426 × 462,426 - Step 4: Simplify right side
212,520x = 213,837,805,476 - Step 5: Solve for x
x = 213,837,805,476/212,520 - Step 6: Final answer
x = 1,006,200.85
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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.