Finding the Third Proportional to 385,625 and 830,460
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Solution
The third proportional to 385,625 and 830,460 is: 1,788,431.28
Step by Step Solution
- Step 1: Write the proportion equation
385,625 : 830,460 = 830,460 : x - Step 2: Convert to fraction form
385,625/830,460 = 830,460/x - Step 3: Cross multiply
385,625x = 830,460 × 830,460 - Step 4: Simplify right side
385,625x = 689,663,811,600 - Step 5: Solve for x
x = 689,663,811,600/385,625 - Step 6: Final answer
x = 1,788,431.28
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.