Finding the Third Proportional to 653 and 786
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Solution
The third proportional to 653 and 786 is: 946.09
Step by Step Solution
- Step 1: Write the proportion equation
653 : 786 = 786 : x - Step 2: Convert to fraction form
653/786 = 786/x - Step 3: Cross multiply
653x = 786 × 786 - Step 4: Simplify right side
653x = 617,796 - Step 5: Solve for x
x = 617,796/653 - Step 6: Final answer
x = 946.09
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.