Finding the Third Proportional to 1,014.19 and 1,284.19
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Solution
The third proportional to 1,014.19 and 1,284.19 is: 1,626.07
Step by Step Solution
- Step 1: Write the proportion equation
1,014.19 : 1,284.19 = 1,284.19 : x - Step 2: Convert to fraction form
1,014.19/1,284.19 = 1,284.19/x - Step 3: Cross multiply
1,014.19x = 1,284.19 × 1,284.19 - Step 4: Simplify right side
1,014.19x = 1,649,137.54 - Step 5: Solve for x
x = 1,649,137.54/1,014.19 - Step 6: Final answer
x = 1,626.07
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.