Finding the Third Proportional to 384,308 and 613,942
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Solution
The third proportional to 384,308 and 613,942 is: 980,788.27
Step by Step Solution
- Step 1: Write the proportion equation
384,308 : 613,942 = 613,942 : x - Step 2: Convert to fraction form
384,308/613,942 = 613,942/x - Step 3: Cross multiply
384,308x = 613,942 × 613,942 - Step 4: Simplify right side
384,308x = 376,924,779,364 - Step 5: Solve for x
x = 376,924,779,364/384,308 - Step 6: Final answer
x = 980,788.27
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.