Finding the Third Proportional to 381,376 and 837,432
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Solution
The third proportional to 381,376 and 837,432 is: 1,838,847.63
Step by Step Solution
- Step 1: Write the proportion equation
381,376 : 837,432 = 837,432 : x - Step 2: Convert to fraction form
381,376/837,432 = 837,432/x - Step 3: Cross multiply
381,376x = 837,432 × 837,432 - Step 4: Simplify right side
381,376x = 701,292,354,624 - Step 5: Solve for x
x = 701,292,354,624/381,376 - Step 6: Final answer
x = 1,838,847.63
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.