Finding the Third Proportional to 772.50 and 1,104
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Solution
The third proportional to 772.50 and 1,104 is: 1,577.76
Step by Step Solution
- Step 1: Write the proportion equation
772.50 : 1,104 = 1,104 : x - Step 2: Convert to fraction form
772.50/1,104 = 1,104/x - Step 3: Cross multiply
772.50x = 1,104 × 1,104 - Step 4: Simplify right side
772.50x = 1,218,816 - Step 5: Solve for x
x = 1,218,816/772.50 - Step 6: Final answer
x = 1,577.76
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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.