Finding the Third Proportional to 278,329 and 596,012
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Solution
The third proportional to 278,329 and 596,012 is: 1,276,296.41
Step by Step Solution
- Step 1: Write the proportion equation
278,329 : 596,012 = 596,012 : x - Step 2: Convert to fraction form
278,329/596,012 = 596,012/x - Step 3: Cross multiply
278,329x = 596,012 × 596,012 - Step 4: Simplify right side
278,329x = 355,230,304,144 - Step 5: Solve for x
x = 355,230,304,144/278,329 - Step 6: Final answer
x = 1,276,296.41
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.