Finding the Third Proportional to 535,842 and 729,702
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Solution
The third proportional to 535,842 and 729,702 is: 993,697.79
Step by Step Solution
- Step 1: Write the proportion equation
535,842 : 729,702 = 729,702 : x - Step 2: Convert to fraction form
535,842/729,702 = 729,702/x - Step 3: Cross multiply
535,842x = 729,702 × 729,702 - Step 4: Simplify right side
535,842x = 532,465,008,804 - Step 5: Solve for x
x = 532,465,008,804/535,842 - Step 6: Final answer
x = 993,697.79
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.