Finding the Third Proportional to 766.50 and 1,365
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Solution
The third proportional to 766.50 and 1,365 is: 2,430.82
Step by Step Solution
- Step 1: Write the proportion equation
766.50 : 1,365 = 1,365 : x - Step 2: Convert to fraction form
766.50/1,365 = 1,365/x - Step 3: Cross multiply
766.50x = 1,365 × 1,365 - Step 4: Simplify right side
766.50x = 1,863,225 - Step 5: Solve for x
x = 1,863,225/766.50 - Step 6: Final answer
x = 2,430.82
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.