Finding the Third Proportional to 402,120 and 837,315
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Solution
The third proportional to 402,120 and 837,315 is: 1,743,500.47
Step by Step Solution
- Step 1: Write the proportion equation
402,120 : 837,315 = 837,315 : x - Step 2: Convert to fraction form
402,120/837,315 = 837,315/x - Step 3: Cross multiply
402,120x = 837,315 × 837,315 - Step 4: Simplify right side
402,120x = 701,096,409,225 - Step 5: Solve for x
x = 701,096,409,225/402,120 - Step 6: Final answer
x = 1,743,500.47
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.