Finding the Third Proportional to 505 and 924
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Solution
The third proportional to 505 and 924 is: 1,690.65
Step by Step Solution
- Step 1: Write the proportion equation
505 : 924 = 924 : x - Step 2: Convert to fraction form
505/924 = 924/x - Step 3: Cross multiply
505x = 924 × 924 - Step 4: Simplify right side
505x = 853,776 - Step 5: Solve for x
x = 853,776/505 - Step 6: Final answer
x = 1,690.65
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.