Finding the Third Proportional to 783 and 1,179
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Solution
The third proportional to 783 and 1,179 is: 1,775.28
Step by Step Solution
- Step 1: Write the proportion equation
783 : 1,179 = 1,179 : x - Step 2: Convert to fraction form
783/1,179 = 1,179/x - Step 3: Cross multiply
783x = 1,179 × 1,179 - Step 4: Simplify right side
783x = 1,390,041 - Step 5: Solve for x
x = 1,390,041/783 - Step 6: Final answer
x = 1,775.28
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.