Finding the Third Proportional to 290,468 and 456,438
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Solution
The third proportional to 290,468 and 456,438 is: 717,241.31
Step by Step Solution
- Step 1: Write the proportion equation
290,468 : 456,438 = 456,438 : x - Step 2: Convert to fraction form
290,468/456,438 = 456,438/x - Step 3: Cross multiply
290,468x = 456,438 × 456,438 - Step 4: Simplify right side
290,468x = 208,335,647,844 - Step 5: Solve for x
x = 208,335,647,844/290,468 - Step 6: Final answer
x = 717,241.31
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.