Finding the Third Proportional to 465,147 and 700,443
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Solution
The third proportional to 465,147 and 700,443 is: 1,054,764.18
Step by Step Solution
- Step 1: Write the proportion equation
465,147 : 700,443 = 700,443 : x - Step 2: Convert to fraction form
465,147/700,443 = 700,443/x - Step 3: Cross multiply
465,147x = 700,443 × 700,443 - Step 4: Simplify right side
465,147x = 490,620,396,249 - Step 5: Solve for x
x = 490,620,396,249/465,147 - Step 6: Final answer
x = 1,054,764.18
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.