Finding the Third Proportional to 212,528 and 462,442
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Solution
The third proportional to 212,528 and 462,442 is: 1,006,232.61
Step by Step Solution
- Step 1: Write the proportion equation
212,528 : 462,442 = 462,442 : x - Step 2: Convert to fraction form
212,528/462,442 = 462,442/x - Step 3: Cross multiply
212,528x = 462,442 × 462,442 - Step 4: Simplify right side
212,528x = 213,852,603,364 - Step 5: Solve for x
x = 213,852,603,364/212,528 - Step 6: Final answer
x = 1,006,232.61
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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.