Finding the Third Proportional to 507.75 and 541.50
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Solution
The third proportional to 507.75 and 541.50 is: 577.49
Step by Step Solution
- Step 1: Write the proportion equation
507.75 : 541.50 = 541.50 : x - Step 2: Convert to fraction form
507.75/541.50 = 541.50/x - Step 3: Cross multiply
507.75x = 541.50 × 541.50 - Step 4: Simplify right side
507.75x = 293,222.25 - Step 5: Solve for x
x = 293,222.25/507.75 - Step 6: Final answer
x = 577.49
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.