Finding the Third Proportional to 587 and 1,409
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Solution
The third proportional to 587 and 1,409 is: 3,382.08
Step by Step Solution
- Step 1: Write the proportion equation
587 : 1,409 = 1,409 : x - Step 2: Convert to fraction form
587/1,409 = 1,409/x - Step 3: Cross multiply
587x = 1,409 × 1,409 - Step 4: Simplify right side
587x = 1,985,281 - Step 5: Solve for x
x = 1,985,281/587 - Step 6: Final answer
x = 3,382.08
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.