Finding the Third Proportional to 507 and 585
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Solution
The third proportional to 507 and 585 is: 675
Step by Step Solution
- Step 1: Write the proportion equation
507 : 585 = 585 : x - Step 2: Convert to fraction form
507/585 = 585/x - Step 3: Cross multiply
507x = 585 × 585 - Step 4: Simplify right side
507x = 342,225 - Step 5: Solve for x
x = 342,225/507 - Step 6: Final answer
x = 675
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.