Finding the Third Proportional to 597,414 and 946,431
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Solution
The third proportional to 597,414 and 946,431 is: 1,499,348.25
Step by Step Solution
- Step 1: Write the proportion equation
597,414 : 946,431 = 946,431 : x - Step 2: Convert to fraction form
597,414/946,431 = 946,431/x - Step 3: Cross multiply
597,414x = 946,431 × 946,431 - Step 4: Simplify right side
597,414x = 895,731,637,761 - Step 5: Solve for x
x = 895,731,637,761/597,414 - Step 6: Final answer
x = 1,499,348.25
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.