Finding the Third Proportional to 807 and 1,416
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Solution
The third proportional to 807 and 1,416 is: 2,484.58
Step by Step Solution
- Step 1: Write the proportion equation
807 : 1,416 = 1,416 : x - Step 2: Convert to fraction form
807/1,416 = 1,416/x - Step 3: Cross multiply
807x = 1,416 × 1,416 - Step 4: Simplify right side
807x = 2,005,056 - Step 5: Solve for x
x = 2,005,056/807 - Step 6: Final answer
x = 2,484.58
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Why These Related Problems?
These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.