Finding the Third Proportional to 322,406 and 670,978
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Solution
The third proportional to 322,406 and 670,978 is: 1,396,411.59
Step by Step Solution
- Step 1: Write the proportion equation
322,406 : 670,978 = 670,978 : x - Step 2: Convert to fraction form
322,406/670,978 = 670,978/x - Step 3: Cross multiply
322,406x = 670,978 × 670,978 - Step 4: Simplify right side
322,406x = 450,211,476,484 - Step 5: Solve for x
x = 450,211,476,484/322,406 - Step 6: Final answer
x = 1,396,411.59
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.