Finding the Third Proportional to 457 and 817
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Solution
The third proportional to 457 and 817 is: 1,460.59
Step by Step Solution
- Step 1: Write the proportion equation
457 : 817 = 817 : x - Step 2: Convert to fraction form
457/817 = 817/x - Step 3: Cross multiply
457x = 817 × 817 - Step 4: Simplify right side
457x = 667,489 - Step 5: Solve for x
x = 667,489/457 - Step 6: Final answer
x = 1,460.59
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Why These Related Problems?
These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.