Finding the Third Proportional to 306,825 and 656,298
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Solution
The third proportional to 306,825 and 656,298 is: 1,403,819.98
Step by Step Solution
- Step 1: Write the proportion equation
306,825 : 656,298 = 656,298 : x - Step 2: Convert to fraction form
306,825/656,298 = 656,298/x - Step 3: Cross multiply
306,825x = 656,298 × 656,298 - Step 4: Simplify right side
306,825x = 430,727,064,804 - Step 5: Solve for x
x = 430,727,064,804/306,825 - Step 6: Final answer
x = 1,403,819.98
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.