Finding the Third Proportional to 854 and 1,433
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Solution
The third proportional to 854 and 1,433 is: 2,404.55
Step by Step Solution
- Step 1: Write the proportion equation
854 : 1,433 = 1,433 : x - Step 2: Convert to fraction form
854/1,433 = 1,433/x - Step 3: Cross multiply
854x = 1,433 × 1,433 - Step 4: Simplify right side
854x = 2,053,489 - Step 5: Solve for x
x = 2,053,489/854 - Step 6: Final answer
x = 2,404.55
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.