Finding the Third Proportional to 385,926 and 827,232
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Solution
The third proportional to 385,926 and 827,232 is: 1,773,170.98
Step by Step Solution
- Step 1: Write the proportion equation
385,926 : 827,232 = 827,232 : x - Step 2: Convert to fraction form
385,926/827,232 = 827,232/x - Step 3: Cross multiply
385,926x = 827,232 × 827,232 - Step 4: Simplify right side
385,926x = 684,312,781,824 - Step 5: Solve for x
x = 684,312,781,824/385,926 - Step 6: Final answer
x = 1,773,170.98
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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.