Finding the Third Proportional to 385,160 and 563,474
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Solution
The third proportional to 385,160 and 563,474 is: 824,340.40
Step by Step Solution
- Step 1: Write the proportion equation
385,160 : 563,474 = 563,474 : x - Step 2: Convert to fraction form
385,160/563,474 = 563,474/x - Step 3: Cross multiply
385,160x = 563,474 × 563,474 - Step 4: Simplify right side
385,160x = 317,502,948,676 - Step 5: Solve for x
x = 317,502,948,676/385,160 - Step 6: Final answer
x = 824,340.40
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.