Finding the Third Proportional to 519,368 and 782,471
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Solution
The third proportional to 519,368 and 782,471 is: 1,178,857.51
Step by Step Solution
- Step 1: Write the proportion equation
519,368 : 782,471 = 782,471 : x - Step 2: Convert to fraction form
519,368/782,471 = 782,471/x - Step 3: Cross multiply
519,368x = 782,471 × 782,471 - Step 4: Simplify right side
519,368x = 612,260,865,841 - Step 5: Solve for x
x = 612,260,865,841/519,368 - Step 6: Final answer
x = 1,178,857.51
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.