Finding the Third Proportional to 647,538 and 971,308
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Solution
The third proportional to 647,538 and 971,308 is: 1,456,963.50
Step by Step Solution
- Step 1: Write the proportion equation
647,538 : 971,308 = 971,308 : x - Step 2: Convert to fraction form
647,538/971,308 = 971,308/x - Step 3: Cross multiply
647,538x = 971,308 × 971,308 - Step 4: Simplify right side
647,538x = 943,439,230,864 - Step 5: Solve for x
x = 943,439,230,864/647,538 - Step 6: Final answer
x = 1,456,963.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.