Finding the Third Proportional to 550,316 and 822,944
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Solution
The third proportional to 550,316 and 822,944 is: 1,230,632.63
Step by Step Solution
- Step 1: Write the proportion equation
550,316 : 822,944 = 822,944 : x - Step 2: Convert to fraction form
550,316/822,944 = 822,944/x - Step 3: Cross multiply
550,316x = 822,944 × 822,944 - Step 4: Simplify right side
550,316x = 677,236,827,136 - Step 5: Solve for x
x = 677,236,827,136/550,316 - Step 6: Final answer
x = 1,230,632.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.