Finding the Third Proportional to 505 and 597
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Solution
The third proportional to 505 and 597 is: 705.76
Step by Step Solution
- Step 1: Write the proportion equation
505 : 597 = 597 : x - Step 2: Convert to fraction form
505/597 = 597/x - Step 3: Cross multiply
505x = 597 × 597 - Step 4: Simplify right side
505x = 356,409 - Step 5: Solve for x
x = 356,409/505 - Step 6: Final answer
x = 705.76
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.