Finding the Third Proportional to 287,102 and 440,697
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Solution
The third proportional to 287,102 and 440,697 is: 676,462.88
Step by Step Solution
- Step 1: Write the proportion equation
287,102 : 440,697 = 440,697 : x - Step 2: Convert to fraction form
287,102/440,697 = 440,697/x - Step 3: Cross multiply
287,102x = 440,697 × 440,697 - Step 4: Simplify right side
287,102x = 194,213,845,809 - Step 5: Solve for x
x = 194,213,845,809/287,102 - Step 6: Final answer
x = 676,462.88
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.