Finding the Third Proportional to 289,294 and 592,682
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Solution
The third proportional to 289,294 and 592,682 is: 1,214,238.64
Step by Step Solution
- Step 1: Write the proportion equation
289,294 : 592,682 = 592,682 : x - Step 2: Convert to fraction form
289,294/592,682 = 592,682/x - Step 3: Cross multiply
289,294x = 592,682 × 592,682 - Step 4: Simplify right side
289,294x = 351,271,953,124 - Step 5: Solve for x
x = 351,271,953,124/289,294 - Step 6: Final answer
x = 1,214,238.64
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.