Finding the Third Proportional to 978.75 and 1,404
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Solution
The third proportional to 978.75 and 1,404 is: 2,014.01
Step by Step Solution
- Step 1: Write the proportion equation
978.75 : 1,404 = 1,404 : x - Step 2: Convert to fraction form
978.75/1,404 = 1,404/x - Step 3: Cross multiply
978.75x = 1,404 × 1,404 - Step 4: Simplify right side
978.75x = 1,971,216 - Step 5: Solve for x
x = 1,971,216/978.75 - Step 6: Final answer
x = 2,014.01
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.